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Finding the Third Proportional to 707,393 and 1,527,348

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Solution

The third proportional to 707,393 and 1,527,348 is: 3,297,731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,393 : 1,527,348 = 1,527,348 : x
  2. Step 2: Convert to fraction form
    707,393/1,527,348 = 1,527,348/x
  3. Step 3: Cross multiply
    707,393x = 1,527,348 × 1,527,348
  4. Step 4: Simplify right side
    707,393x = 2,332,791,913,104
  5. Step 5: Solve for x
    x = 2,332,791,913,104/707,393
  6. Step 6: Final answer
    x = 3,297,731.12

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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.