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Finding the Third Proportional to 1,402,711.31 and 3,019,945.50

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Solution

The third proportional to 1,402,711.31 and 3,019,945.50 is: 6,501,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,711.31 : 3,019,945.50 = 3,019,945.50 : x
  2. Step 2: Convert to fraction form
    1,402,711.31/3,019,945.50 = 3,019,945.50/x
  3. Step 3: Cross multiply
    1,402,711.31x = 3,019,945.50 × 3,019,945.50
  4. Step 4: Simplify right side
    1,402,711.31x = 9,120,070,822,970.25
  5. Step 5: Solve for x
    x = 9,120,070,822,970.25/1,402,711.31
  6. Step 6: Final answer
    x = 6,501,744.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.