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Finding the Third Proportional to 653,166 and 989,592

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Solution

The third proportional to 653,166 and 989,592 is: 1,499,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,166 : 989,592 = 989,592 : x
  2. Step 2: Convert to fraction form
    653,166/989,592 = 989,592/x
  3. Step 3: Cross multiply
    653,166x = 989,592 × 989,592
  4. Step 4: Simplify right side
    653,166x = 979,292,326,464
  5. Step 5: Solve for x
    x = 979,292,326,464/653,166
  6. Step 6: Final answer
    x = 1,499,300.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.