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Finding the Third Proportional to 709,080.75 and 1,064,117.25

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Solution

The third proportional to 709,080.75 and 1,064,117.25 is: 1,596,920.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,080.75 : 1,064,117.25 = 1,064,117.25 : x
  2. Step 2: Convert to fraction form
    709,080.75/1,064,117.25 = 1,064,117.25/x
  3. Step 3: Cross multiply
    709,080.75x = 1,064,117.25 × 1,064,117.25
  4. Step 4: Simplify right side
    709,080.75x = 1,132,345,521,747.56
  5. Step 5: Solve for x
    x = 1,132,345,521,747.56/709,080.75
  6. Step 6: Final answer
    x = 1,596,920.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.