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Finding the Third Proportional to 1,585,890 and 2,553,525

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Solution

The third proportional to 1,585,890 and 2,553,525 is: 4,111,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,890 : 2,553,525 = 2,553,525 : x
  2. Step 2: Convert to fraction form
    1,585,890/2,553,525 = 2,553,525/x
  3. Step 3: Cross multiply
    1,585,890x = 2,553,525 × 2,553,525
  4. Step 4: Simplify right side
    1,585,890x = 6,520,489,925,625
  5. Step 5: Solve for x
    x = 6,520,489,925,625/1,585,890
  6. Step 6: Final answer
    x = 4,111,565.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.