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Finding the Third Proportional to 1,060,705.13 and 1,642,076.30

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Solution

The third proportional to 1,060,705.13 and 1,642,076.30 is: 2,542,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060,705.13 : 1,642,076.30 = 1,642,076.30 : x
  2. Step 2: Convert to fraction form
    1,060,705.13/1,642,076.30 = 1,642,076.30/x
  3. Step 3: Cross multiply
    1,060,705.13x = 1,642,076.30 × 1,642,076.30
  4. Step 4: Simplify right side
    1,060,705.13x = 2,696,414,564,758.71
  5. Step 5: Solve for x
    x = 2,696,414,564,758.71/1,060,705.13
  6. Step 6: Final answer
    x = 2,542,096.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.