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Finding the Third Proportional to 761,977.28 and 1,044,878.41

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Solution

The third proportional to 761,977.28 and 1,044,878.41 is: 1,432,812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,977.28 : 1,044,878.41 = 1,044,878.41 : x
  2. Step 2: Convert to fraction form
    761,977.28/1,044,878.41 = 1,044,878.41/x
  3. Step 3: Cross multiply
    761,977.28x = 1,044,878.41 × 1,044,878.41
  4. Step 4: Simplify right side
    761,977.28x = 1,091,770,881,806.68
  5. Step 5: Solve for x
    x = 1,091,770,881,806.68/761,977.28
  6. Step 6: Final answer
    x = 1,432,812.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.