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Finding the Third Proportional to 475,416 and 1,044,132

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Solution

The third proportional to 475,416 and 1,044,132 is: 2,293,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,416 : 1,044,132 = 1,044,132 : x
  2. Step 2: Convert to fraction form
    475,416/1,044,132 = 1,044,132/x
  3. Step 3: Cross multiply
    475,416x = 1,044,132 × 1,044,132
  4. Step 4: Simplify right side
    475,416x = 1,090,211,633,424
  5. Step 5: Solve for x
    x = 1,090,211,633,424/475,416
  6. Step 6: Final answer
    x = 2,293,174.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.