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Finding the Third Proportional to 563,076 and 1,172,592

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Solution

The third proportional to 563,076 and 1,172,592 is: 2,441,894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,076 : 1,172,592 = 1,172,592 : x
  2. Step 2: Convert to fraction form
    563,076/1,172,592 = 1,172,592/x
  3. Step 3: Cross multiply
    563,076x = 1,172,592 × 1,172,592
  4. Step 4: Simplify right side
    563,076x = 1,374,971,998,464
  5. Step 5: Solve for x
    x = 1,374,971,998,464/563,076
  6. Step 6: Final answer
    x = 2,441,894.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.