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Finding the Third Proportional to 464,574 and 984,970

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Solution

The third proportional to 464,574 and 984,970 is: 2,088,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,574 : 984,970 = 984,970 : x
  2. Step 2: Convert to fraction form
    464,574/984,970 = 984,970/x
  3. Step 3: Cross multiply
    464,574x = 984,970 × 984,970
  4. Step 4: Simplify right side
    464,574x = 970,165,900,900
  5. Step 5: Solve for x
    x = 970,165,900,900/464,574
  6. Step 6: Final answer
    x = 2,088,291.43

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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.