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Finding the Third Proportional to 1,125,758.25 and 1,658,869.88

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Solution

The third proportional to 1,125,758.25 and 1,658,869.88 is: 2,444,440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125,758.25 : 1,658,869.88 = 1,658,869.88 : x
  2. Step 2: Convert to fraction form
    1,125,758.25/1,658,869.88 = 1,658,869.88/x
  3. Step 3: Cross multiply
    1,125,758.25x = 1,658,869.88 × 1,658,869.88
  4. Step 4: Simplify right side
    1,125,758.25x = 2,751,849,262,182.52
  5. Step 5: Solve for x
    x = 2,751,849,262,182.52/1,125,758.25
  6. Step 6: Final answer
    x = 2,444,440.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.