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Finding the Third Proportional to 897,750 and 1,921,603.50

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Solution

The third proportional to 897,750 and 1,921,603.50 is: 4,113,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,750 : 1,921,603.50 = 1,921,603.50 : x
  2. Step 2: Convert to fraction form
    897,750/1,921,603.50 = 1,921,603.50/x
  3. Step 3: Cross multiply
    897,750x = 1,921,603.50 × 1,921,603.50
  4. Step 4: Simplify right side
    897,750x = 3,692,560,011,212.25
  5. Step 5: Solve for x
    x = 3,692,560,011,212.25/897,750
  6. Step 6: Final answer
    x = 4,113,127.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.