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Finding the Third Proportional to 573,820 and 885,418

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Solution

The third proportional to 573,820 and 885,418 is: 1,366,221.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,820 : 885,418 = 885,418 : x
  2. Step 2: Convert to fraction form
    573,820/885,418 = 885,418/x
  3. Step 3: Cross multiply
    573,820x = 885,418 × 885,418
  4. Step 4: Simplify right side
    573,820x = 783,965,034,724
  5. Step 5: Solve for x
    x = 783,965,034,724/573,820
  6. Step 6: Final answer
    x = 1,366,221.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.