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Finding the Third Proportional to 681,706.13 and 1,009,384.03

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Solution

The third proportional to 681,706.13 and 1,009,384.03 is: 1,494,567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,706.13 : 1,009,384.03 = 1,009,384.03 : x
  2. Step 2: Convert to fraction form
    681,706.13/1,009,384.03 = 1,009,384.03/x
  3. Step 3: Cross multiply
    681,706.13x = 1,009,384.03 × 1,009,384.03
  4. Step 4: Simplify right side
    681,706.13x = 1,018,856,122,542.50
  5. Step 5: Solve for x
    x = 1,018,856,122,542.50/681,706.13
  6. Step 6: Final answer
    x = 1,494,567.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.