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Finding the Third Proportional to 649,312 and 1,415,264

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Solution

The third proportional to 649,312 and 1,415,264 is: 3,084,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,312 : 1,415,264 = 1,415,264 : x
  2. Step 2: Convert to fraction form
    649,312/1,415,264 = 1,415,264/x
  3. Step 3: Cross multiply
    649,312x = 1,415,264 × 1,415,264
  4. Step 4: Simplify right side
    649,312x = 2,002,972,189,696
  5. Step 5: Solve for x
    x = 2,002,972,189,696/649,312
  6. Step 6: Final answer
    x = 3,084,760.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.