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Finding the Third Proportional to 464,569 and 984,960

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Solution

The third proportional to 464,569 and 984,960 is: 2,088,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,569 : 984,960 = 984,960 : x
  2. Step 2: Convert to fraction form
    464,569/984,960 = 984,960/x
  3. Step 3: Cross multiply
    464,569x = 984,960 × 984,960
  4. Step 4: Simplify right side
    464,569x = 970,146,201,600
  5. Step 5: Solve for x
    x = 970,146,201,600/464,569
  6. Step 6: Final answer
    x = 2,088,271.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.