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Finding the Third Proportional to 727,461 and 1,580,836.50

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Solution

The third proportional to 727,461 and 1,580,836.50 is: 3,435,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,461 : 1,580,836.50 = 1,580,836.50 : x
  2. Step 2: Convert to fraction form
    727,461/1,580,836.50 = 1,580,836.50/x
  3. Step 3: Cross multiply
    727,461x = 1,580,836.50 × 1,580,836.50
  4. Step 4: Simplify right side
    727,461x = 2,499,044,039,732.25
  5. Step 5: Solve for x
    x = 2,499,044,039,732.25/727,461
  6. Step 6: Final answer
    x = 3,435,296.24

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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.