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Finding the Third Proportional to 747,179 and 1,167,424

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Solution

The third proportional to 747,179 and 1,167,424 is: 1,824,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,179 : 1,167,424 = 1,167,424 : x
  2. Step 2: Convert to fraction form
    747,179/1,167,424 = 1,167,424/x
  3. Step 3: Cross multiply
    747,179x = 1,167,424 × 1,167,424
  4. Step 4: Simplify right side
    747,179x = 1,362,878,795,776
  5. Step 5: Solve for x
    x = 1,362,878,795,776/747,179
  6. Step 6: Final answer
    x = 1,824,032.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.