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Finding the Third Proportional to 536,742 and 1,157,565

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Solution

The third proportional to 536,742 and 1,157,565 is: 2,496,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,742 : 1,157,565 = 1,157,565 : x
  2. Step 2: Convert to fraction form
    536,742/1,157,565 = 1,157,565/x
  3. Step 3: Cross multiply
    536,742x = 1,157,565 × 1,157,565
  4. Step 4: Simplify right side
    536,742x = 1,339,956,729,225
  5. Step 5: Solve for x
    x = 1,339,956,729,225/536,742
  6. Step 6: Final answer
    x = 2,496,463.35

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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.