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Finding the Third Proportional to 669,646.50 and 1,010,508

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Solution

The third proportional to 669,646.50 and 1,010,508 is: 1,524,873.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,646.50 : 1,010,508 = 1,010,508 : x
  2. Step 2: Convert to fraction form
    669,646.50/1,010,508 = 1,010,508/x
  3. Step 3: Cross multiply
    669,646.50x = 1,010,508 × 1,010,508
  4. Step 4: Simplify right side
    669,646.50x = 1,021,126,418,064
  5. Step 5: Solve for x
    x = 1,021,126,418,064/669,646.50
  6. Step 6: Final answer
    x = 1,524,873.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.