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Finding the Third Proportional to 653,700 and 1,412,438

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Solution

The third proportional to 653,700 and 1,412,438 is: 3,051,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,700 : 1,412,438 = 1,412,438 : x
  2. Step 2: Convert to fraction form
    653,700/1,412,438 = 1,412,438/x
  3. Step 3: Cross multiply
    653,700x = 1,412,438 × 1,412,438
  4. Step 4: Simplify right side
    653,700x = 1,994,981,103,844
  5. Step 5: Solve for x
    x = 1,994,981,103,844/653,700
  6. Step 6: Final answer
    x = 3,051,829.74

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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.