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Finding the Third Proportional to 539,680 and 1,168,776

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Solution

The third proportional to 539,680 and 1,168,776 is: 2,531,198.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,680 : 1,168,776 = 1,168,776 : x
  2. Step 2: Convert to fraction form
    539,680/1,168,776 = 1,168,776/x
  3. Step 3: Cross multiply
    539,680x = 1,168,776 × 1,168,776
  4. Step 4: Simplify right side
    539,680x = 1,366,037,338,176
  5. Step 5: Solve for x
    x = 1,366,037,338,176/539,680
  6. Step 6: Final answer
    x = 2,531,198.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.