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Finding the Third Proportional to 466,407 and 988,863

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Solution

The third proportional to 466,407 and 988,863 is: 2,096,559.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,407 : 988,863 = 988,863 : x
  2. Step 2: Convert to fraction form
    466,407/988,863 = 988,863/x
  3. Step 3: Cross multiply
    466,407x = 988,863 × 988,863
  4. Step 4: Simplify right side
    466,407x = 977,850,032,769
  5. Step 5: Solve for x
    x = 977,850,032,769/466,407
  6. Step 6: Final answer
    x = 2,096,559.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.