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Finding the Third Proportional to 614,242 and 947,605

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Solution

The third proportional to 614,242 and 947,605 is: 1,461,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,242 : 947,605 = 947,605 : x
  2. Step 2: Convert to fraction form
    614,242/947,605 = 947,605/x
  3. Step 3: Cross multiply
    614,242x = 947,605 × 947,605
  4. Step 4: Simplify right side
    614,242x = 897,955,236,025
  5. Step 5: Solve for x
    x = 897,955,236,025/614,242
  6. Step 6: Final answer
    x = 1,461,891.63

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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.