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Finding the Third Proportional to 690,498 and 1,428,948

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Solution

The third proportional to 690,498 and 1,428,948 is: 2,957,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,498 : 1,428,948 = 1,428,948 : x
  2. Step 2: Convert to fraction form
    690,498/1,428,948 = 1,428,948/x
  3. Step 3: Cross multiply
    690,498x = 1,428,948 × 1,428,948
  4. Step 4: Simplify right side
    690,498x = 2,041,892,386,704
  5. Step 5: Solve for x
    x = 2,041,892,386,704/690,498
  6. Step 6: Final answer
    x = 2,957,130.05

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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.