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Finding the Third Proportional to 557,616 and 1,187,160

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Solution

The third proportional to 557,616 and 1,187,160 is: 2,527,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,616 : 1,187,160 = 1,187,160 : x
  2. Step 2: Convert to fraction form
    557,616/1,187,160 = 1,187,160/x
  3. Step 3: Cross multiply
    557,616x = 1,187,160 × 1,187,160
  4. Step 4: Simplify right side
    557,616x = 1,409,348,865,600
  5. Step 5: Solve for x
    x = 1,409,348,865,600/557,616
  6. Step 6: Final answer
    x = 2,527,454.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.