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Finding the Third Proportional to 492,820 and 1,055,624

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Solution

The third proportional to 492,820 and 1,055,624 is: 2,261,154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,820 : 1,055,624 = 1,055,624 : x
  2. Step 2: Convert to fraction form
    492,820/1,055,624 = 1,055,624/x
  3. Step 3: Cross multiply
    492,820x = 1,055,624 × 1,055,624
  4. Step 4: Simplify right side
    492,820x = 1,114,342,029,376
  5. Step 5: Solve for x
    x = 1,114,342,029,376/492,820
  6. Step 6: Final answer
    x = 2,261,154.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.