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Finding the Third Proportional to 691,385.91 and 1,084,580.30

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Solution

The third proportional to 691,385.91 and 1,084,580.30 is: 1,701,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,385.91 : 1,084,580.30 = 1,084,580.30 : x
  2. Step 2: Convert to fraction form
    691,385.91/1,084,580.30 = 1,084,580.30/x
  3. Step 3: Cross multiply
    691,385.91x = 1,084,580.30 × 1,084,580.30
  4. Step 4: Simplify right side
    691,385.91x = 1,176,314,420,369.46
  5. Step 5: Solve for x
    x = 1,176,314,420,369.46/691,385.91
  6. Step 6: Final answer
    x = 1,701,386.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.