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Finding the Third Proportional to 464,572 and 984,966

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Solution

The third proportional to 464,572 and 984,966 is: 2,088,283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,572 : 984,966 = 984,966 : x
  2. Step 2: Convert to fraction form
    464,572/984,966 = 984,966/x
  3. Step 3: Cross multiply
    464,572x = 984,966 × 984,966
  4. Step 4: Simplify right side
    464,572x = 970,158,021,156
  5. Step 5: Solve for x
    x = 970,158,021,156/464,572
  6. Step 6: Final answer
    x = 2,088,283.45

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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.