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Finding the Third Proportional to 669,632 and 1,010,486

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Solution

The third proportional to 669,632 and 1,010,486 is: 1,524,840.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,632 : 1,010,486 = 1,010,486 : x
  2. Step 2: Convert to fraction form
    669,632/1,010,486 = 1,010,486/x
  3. Step 3: Cross multiply
    669,632x = 1,010,486 × 1,010,486
  4. Step 4: Simplify right side
    669,632x = 1,021,081,956,196
  5. Step 5: Solve for x
    x = 1,021,081,956,196/669,632
  6. Step 6: Final answer
    x = 1,524,840.44

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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.