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Finding the Third Proportional to 699,356 and 1,062,703

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Solution

The third proportional to 699,356 and 1,062,703 is: 1,614,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,356 : 1,062,703 = 1,062,703 : x
  2. Step 2: Convert to fraction form
    699,356/1,062,703 = 1,062,703/x
  3. Step 3: Cross multiply
    699,356x = 1,062,703 × 1,062,703
  4. Step 4: Simplify right side
    699,356x = 1,129,337,666,209
  5. Step 5: Solve for x
    x = 1,129,337,666,209/699,356
  6. Step 6: Final answer
    x = 1,614,825.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.