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Finding the Third Proportional to 649,760 and 1,009,984

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Solution

The third proportional to 649,760 and 1,009,984 is: 1,569,914.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,760 : 1,009,984 = 1,009,984 : x
  2. Step 2: Convert to fraction form
    649,760/1,009,984 = 1,009,984/x
  3. Step 3: Cross multiply
    649,760x = 1,009,984 × 1,009,984
  4. Step 4: Simplify right side
    649,760x = 1,020,067,680,256
  5. Step 5: Solve for x
    x = 1,020,067,680,256/649,760
  6. Step 6: Final answer
    x = 1,569,914.55

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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.