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Finding the Third Proportional to 464,416 and 948,510

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Solution

The third proportional to 464,416 and 948,510 is: 1,937,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,416 : 948,510 = 948,510 : x
  2. Step 2: Convert to fraction form
    464,416/948,510 = 948,510/x
  3. Step 3: Cross multiply
    464,416x = 948,510 × 948,510
  4. Step 4: Simplify right side
    464,416x = 899,671,220,100
  5. Step 5: Solve for x
    x = 899,671,220,100/464,416
  6. Step 6: Final answer
    x = 1,937,209.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.