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Finding the Third Proportional to 709,868 and 1,539,506

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Solution

The third proportional to 709,868 and 1,539,506 is: 3,338,759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,868 : 1,539,506 = 1,539,506 : x
  2. Step 2: Convert to fraction form
    709,868/1,539,506 = 1,539,506/x
  3. Step 3: Cross multiply
    709,868x = 1,539,506 × 1,539,506
  4. Step 4: Simplify right side
    709,868x = 2,370,078,724,036
  5. Step 5: Solve for x
    x = 2,370,078,724,036/709,868
  6. Step 6: Final answer
    x = 3,338,759.78

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Why These Related Problems?

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