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Finding the Third Proportional to 653,699 and 1,412,436

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Solution

The third proportional to 653,699 and 1,412,436 is: 3,051,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,699 : 1,412,436 = 1,412,436 : x
  2. Step 2: Convert to fraction form
    653,699/1,412,436 = 1,412,436/x
  3. Step 3: Cross multiply
    653,699x = 1,412,436 × 1,412,436
  4. Step 4: Simplify right side
    653,699x = 1,994,975,454,096
  5. Step 5: Solve for x
    x = 1,994,975,454,096/653,699
  6. Step 6: Final answer
    x = 3,051,825.77

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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.