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Finding the Third Proportional to 445,840 and 974,624

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Solution

The third proportional to 445,840 and 974,624 is: 2,130,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,840 : 974,624 = 974,624 : x
  2. Step 2: Convert to fraction form
    445,840/974,624 = 974,624/x
  3. Step 3: Cross multiply
    445,840x = 974,624 × 974,624
  4. Step 4: Simplify right side
    445,840x = 949,891,941,376
  5. Step 5: Solve for x
    x = 949,891,941,376/445,840
  6. Step 6: Final answer
    x = 2,130,566.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.