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Finding the Third Proportional to 698,905.22 and 1,081,572.88

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Solution

The third proportional to 698,905.22 and 1,081,572.88 is: 1,673,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,905.22 : 1,081,572.88 = 1,081,572.88 : x
  2. Step 2: Convert to fraction form
    698,905.22/1,081,572.88 = 1,081,572.88/x
  3. Step 3: Cross multiply
    698,905.22x = 1,081,572.88 × 1,081,572.88
  4. Step 4: Simplify right side
    698,905.22x = 1,169,799,883,935.77
  5. Step 5: Solve for x
    x = 1,169,799,883,935.77/698,905.22
  6. Step 6: Final answer
    x = 1,673,760.41

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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.