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Finding the Third Proportional to 649,539 and 1,020,357

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Solution

The third proportional to 649,539 and 1,020,357 is: 1,602,872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,539 : 1,020,357 = 1,020,357 : x
  2. Step 2: Convert to fraction form
    649,539/1,020,357 = 1,020,357/x
  3. Step 3: Cross multiply
    649,539x = 1,020,357 × 1,020,357
  4. Step 4: Simplify right side
    649,539x = 1,041,128,407,449
  5. Step 5: Solve for x
    x = 1,041,128,407,449/649,539
  6. Step 6: Final answer
    x = 1,602,872.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.