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Finding the Third Proportional to 688,436 and 1,499,354

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Solution

The third proportional to 688,436 and 1,499,354 is: 3,265,463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,436 : 1,499,354 = 1,499,354 : x
  2. Step 2: Convert to fraction form
    688,436/1,499,354 = 1,499,354/x
  3. Step 3: Cross multiply
    688,436x = 1,499,354 × 1,499,354
  4. Step 4: Simplify right side
    688,436x = 2,248,062,417,316
  5. Step 5: Solve for x
    x = 2,248,062,417,316/688,436
  6. Step 6: Final answer
    x = 3,265,463.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.