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Finding the Third Proportional to 615,116 and 827,534

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Solution

The third proportional to 615,116 and 827,534 is: 1,113,306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,116 : 827,534 = 827,534 : x
  2. Step 2: Convert to fraction form
    615,116/827,534 = 827,534/x
  3. Step 3: Cross multiply
    615,116x = 827,534 × 827,534
  4. Step 4: Simplify right side
    615,116x = 684,812,521,156
  5. Step 5: Solve for x
    x = 684,812,521,156/615,116
  6. Step 6: Final answer
    x = 1,113,306.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.