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Finding the Third Proportional to 466,504 and 974,424

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Solution

The third proportional to 466,504 and 974,424 is: 2,035,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,504 : 974,424 = 974,424 : x
  2. Step 2: Convert to fraction form
    466,504/974,424 = 974,424/x
  3. Step 3: Cross multiply
    466,504x = 974,424 × 974,424
  4. Step 4: Simplify right side
    466,504x = 949,502,131,776
  5. Step 5: Solve for x
    x = 949,502,131,776/466,504
  6. Step 6: Final answer
    x = 2,035,356.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.