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Finding the Third Proportional to 693,729 and 1,513,506

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Solution

The third proportional to 693,729 and 1,513,506 is: 3,302,010.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,729 : 1,513,506 = 1,513,506 : x
  2. Step 2: Convert to fraction form
    693,729/1,513,506 = 1,513,506/x
  3. Step 3: Cross multiply
    693,729x = 1,513,506 × 1,513,506
  4. Step 4: Simplify right side
    693,729x = 2,290,700,412,036
  5. Step 5: Solve for x
    x = 2,290,700,412,036/693,729
  6. Step 6: Final answer
    x = 3,302,010.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.