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Finding the Third Proportional to 1,029,890 and 1,507,971

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Solution

The third proportional to 1,029,890 and 1,507,971 is: 2,207,980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,890 : 1,507,971 = 1,507,971 : x
  2. Step 2: Convert to fraction form
    1,029,890/1,507,971 = 1,507,971/x
  3. Step 3: Cross multiply
    1,029,890x = 1,507,971 × 1,507,971
  4. Step 4: Simplify right side
    1,029,890x = 2,273,976,536,841
  5. Step 5: Solve for x
    x = 2,273,976,536,841/1,029,890
  6. Step 6: Final answer
    x = 2,207,980.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.