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Finding the Third Proportional to 585,672 and 885,890

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Solution

The third proportional to 585,672 and 885,890 is: 1,340,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,672 : 885,890 = 885,890 : x
  2. Step 2: Convert to fraction form
    585,672/885,890 = 885,890/x
  3. Step 3: Cross multiply
    585,672x = 885,890 × 885,890
  4. Step 4: Simplify right side
    585,672x = 784,801,092,100
  5. Step 5: Solve for x
    x = 784,801,092,100/585,672
  6. Step 6: Final answer
    x = 1,340,001.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.