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Finding the Third Proportional to 690,374 and 1,428,682

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Solution

The third proportional to 690,374 and 1,428,682 is: 2,956,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,374 : 1,428,682 = 1,428,682 : x
  2. Step 2: Convert to fraction form
    690,374/1,428,682 = 1,428,682/x
  3. Step 3: Cross multiply
    690,374x = 1,428,682 × 1,428,682
  4. Step 4: Simplify right side
    690,374x = 2,041,132,257,124
  5. Step 5: Solve for x
    x = 2,041,132,257,124/690,374
  6. Step 6: Final answer
    x = 2,956,560.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.