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Finding the Third Proportional to 656,786 and 1,418,348

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Solution

The third proportional to 656,786 and 1,418,348 is: 3,062,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,786 : 1,418,348 = 1,418,348 : x
  2. Step 2: Convert to fraction form
    656,786/1,418,348 = 1,418,348/x
  3. Step 3: Cross multiply
    656,786x = 1,418,348 × 1,418,348
  4. Step 4: Simplify right side
    656,786x = 2,011,711,049,104
  5. Step 5: Solve for x
    x = 2,011,711,049,104/656,786
  6. Step 6: Final answer
    x = 3,062,962.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.