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Finding the Third Proportional to 709,761.94 and 1,539,312.75

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Solution

The third proportional to 709,761.94 and 1,539,312.75 is: 3,338,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,761.94 : 1,539,312.75 = 1,539,312.75 : x
  2. Step 2: Convert to fraction form
    709,761.94/1,539,312.75 = 1,539,312.75/x
  3. Step 3: Cross multiply
    709,761.94x = 1,539,312.75 × 1,539,312.75
  4. Step 4: Simplify right side
    709,761.94x = 2,369,483,742,312.56
  5. Step 5: Solve for x
    x = 2,369,483,742,312.56/709,761.94
  6. Step 6: Final answer
    x = 3,338,420.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.