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Finding the Third Proportional to 623,616 and 1,363,872

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Solution

The third proportional to 623,616 and 1,363,872 is: 2,982,840.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,616 : 1,363,872 = 1,363,872 : x
  2. Step 2: Convert to fraction form
    623,616/1,363,872 = 1,363,872/x
  3. Step 3: Cross multiply
    623,616x = 1,363,872 × 1,363,872
  4. Step 4: Simplify right side
    623,616x = 1,860,146,832,384
  5. Step 5: Solve for x
    x = 1,860,146,832,384/623,616
  6. Step 6: Final answer
    x = 2,982,840.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.