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Finding the Third Proportional to 459,076 and 984,560

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Solution

The third proportional to 459,076 and 984,560 is: 2,111,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,076 : 984,560 = 984,560 : x
  2. Step 2: Convert to fraction form
    459,076/984,560 = 984,560/x
  3. Step 3: Cross multiply
    459,076x = 984,560 × 984,560
  4. Step 4: Simplify right side
    459,076x = 969,358,393,600
  5. Step 5: Solve for x
    x = 969,358,393,600/459,076
  6. Step 6: Final answer
    x = 2,111,542.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.