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Finding the Third Proportional to 698,082 and 1,507,566

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Solution

The third proportional to 698,082 and 1,507,566 is: 3,255,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,082 : 1,507,566 = 1,507,566 : x
  2. Step 2: Convert to fraction form
    698,082/1,507,566 = 1,507,566/x
  3. Step 3: Cross multiply
    698,082x = 1,507,566 × 1,507,566
  4. Step 4: Simplify right side
    698,082x = 2,272,755,244,356
  5. Step 5: Solve for x
    x = 2,272,755,244,356/698,082
  6. Step 6: Final answer
    x = 3,255,713.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.