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Finding the Third Proportional to 912,693 and 1,418,817

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Solution

The third proportional to 912,693 and 1,418,817 is: 2,205,606.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,693 : 1,418,817 = 1,418,817 : x
  2. Step 2: Convert to fraction form
    912,693/1,418,817 = 1,418,817/x
  3. Step 3: Cross multiply
    912,693x = 1,418,817 × 1,418,817
  4. Step 4: Simplify right side
    912,693x = 2,013,041,679,489
  5. Step 5: Solve for x
    x = 2,013,041,679,489/912,693
  6. Step 6: Final answer
    x = 2,205,606.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.