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Finding the Third Proportional to 688,438 and 1,499,358

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Solution

The third proportional to 688,438 and 1,499,358 is: 3,265,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,438 : 1,499,358 = 1,499,358 : x
  2. Step 2: Convert to fraction form
    688,438/1,499,358 = 1,499,358/x
  3. Step 3: Cross multiply
    688,438x = 1,499,358 × 1,499,358
  4. Step 4: Simplify right side
    688,438x = 2,248,074,412,164
  5. Step 5: Solve for x
    x = 2,248,074,412,164/688,438
  6. Step 6: Final answer
    x = 3,265,471.13

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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.