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Finding the Third Proportional to 437,229 and 955,461

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Solution

The third proportional to 437,229 and 955,461 is: 2,087,934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,229 : 955,461 = 955,461 : x
  2. Step 2: Convert to fraction form
    437,229/955,461 = 955,461/x
  3. Step 3: Cross multiply
    437,229x = 955,461 × 955,461
  4. Step 4: Simplify right side
    437,229x = 912,905,722,521
  5. Step 5: Solve for x
    x = 912,905,722,521/437,229
  6. Step 6: Final answer
    x = 2,087,934.98

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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.