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Finding the Third Proportional to 530,877 and 1,155,057

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Solution

The third proportional to 530,877 and 1,155,057 is: 2,513,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,877 : 1,155,057 = 1,155,057 : x
  2. Step 2: Convert to fraction form
    530,877/1,155,057 = 1,155,057/x
  3. Step 3: Cross multiply
    530,877x = 1,155,057 × 1,155,057
  4. Step 4: Simplify right side
    530,877x = 1,334,156,673,249
  5. Step 5: Solve for x
    x = 1,334,156,673,249/530,877
  6. Step 6: Final answer
    x = 2,513,118.24

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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.