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Finding the Third Proportional to 546,427.27 and 1,159,444.13

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Solution

The third proportional to 546,427.27 and 1,159,444.13 is: 2,460,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,427.27 : 1,159,444.13 = 1,159,444.13 : x
  2. Step 2: Convert to fraction form
    546,427.27/1,159,444.13 = 1,159,444.13/x
  3. Step 3: Cross multiply
    546,427.27x = 1,159,444.13 × 1,159,444.13
  4. Step 4: Simplify right side
    546,427.27x = 1,344,310,678,997.02
  5. Step 5: Solve for x
    x = 1,344,310,678,997.02/546,427.27
  6. Step 6: Final answer
    x = 2,460,182.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.