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Finding the Third Proportional to 566,494 and 1,225,922

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Solution

The third proportional to 566,494 and 1,225,922 is: 2,652,957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,494 : 1,225,922 = 1,225,922 : x
  2. Step 2: Convert to fraction form
    566,494/1,225,922 = 1,225,922/x
  3. Step 3: Cross multiply
    566,494x = 1,225,922 × 1,225,922
  4. Step 4: Simplify right side
    566,494x = 1,502,884,750,084
  5. Step 5: Solve for x
    x = 1,502,884,750,084/566,494
  6. Step 6: Final answer
    x = 2,652,957.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.