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Finding the Third Proportional to 649,884 and 1,010,265

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Solution

The third proportional to 649,884 and 1,010,265 is: 1,570,488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,884 : 1,010,265 = 1,010,265 : x
  2. Step 2: Convert to fraction form
    649,884/1,010,265 = 1,010,265/x
  3. Step 3: Cross multiply
    649,884x = 1,010,265 × 1,010,265
  4. Step 4: Simplify right side
    649,884x = 1,020,635,370,225
  5. Step 5: Solve for x
    x = 1,020,635,370,225/649,884
  6. Step 6: Final answer
    x = 1,570,488.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.