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Finding the Third Proportional to 418,456 and 915,158

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Solution

The third proportional to 418,456 and 915,158 is: 2,001,439.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,456 : 915,158 = 915,158 : x
  2. Step 2: Convert to fraction form
    418,456/915,158 = 915,158/x
  3. Step 3: Cross multiply
    418,456x = 915,158 × 915,158
  4. Step 4: Simplify right side
    418,456x = 837,514,164,964
  5. Step 5: Solve for x
    x = 837,514,164,964/418,456
  6. Step 6: Final answer
    x = 2,001,439.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.