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Finding the Third Proportional to 615,533 and 945,534

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Solution

The third proportional to 615,533 and 945,534 is: 1,452,455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,533 : 945,534 = 945,534 : x
  2. Step 2: Convert to fraction form
    615,533/945,534 = 945,534/x
  3. Step 3: Cross multiply
    615,533x = 945,534 × 945,534
  4. Step 4: Simplify right side
    615,533x = 894,034,545,156
  5. Step 5: Solve for x
    x = 894,034,545,156/615,533
  6. Step 6: Final answer
    x = 1,452,455.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.