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Finding the Third Proportional to 899,265,072 and 1,348,897,607.25

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Solution

The third proportional to 899,265,072 and 1,348,897,607.25 is: 2,023,346,409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,265,072 : 1,348,897,607.25 = 1,348,897,607.25 : x
  2. Step 2: Convert to fraction form
    899,265,072/1,348,897,607.25 = 1,348,897,607.25/x
  3. Step 3: Cross multiply
    899,265,072x = 1,348,897,607.25 × 1,348,897,607.25
  4. Step 4: Simplify right side
    899,265,072x = 1,819,524,754,844,775,168
  5. Step 5: Solve for x
    x = 1,819,524,754,844,775,168/899,265,072
  6. Step 6: Final answer
    x = 2,023,346,409.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.