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Finding the Third Proportional to 614,228 and 947,584

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Solution

The third proportional to 614,228 and 947,584 is: 1,461,860.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,228 : 947,584 = 947,584 : x
  2. Step 2: Convert to fraction form
    614,228/947,584 = 947,584/x
  3. Step 3: Cross multiply
    614,228x = 947,584 × 947,584
  4. Step 4: Simplify right side
    614,228x = 897,915,437,056
  5. Step 5: Solve for x
    x = 897,915,437,056/614,228
  6. Step 6: Final answer
    x = 1,461,860.15

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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.