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Finding the Third Proportional to 758,748 and 1,587,642

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Solution

The third proportional to 758,748 and 1,587,642 is: 3,322,060.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,748 : 1,587,642 = 1,587,642 : x
  2. Step 2: Convert to fraction form
    758,748/1,587,642 = 1,587,642/x
  3. Step 3: Cross multiply
    758,748x = 1,587,642 × 1,587,642
  4. Step 4: Simplify right side
    758,748x = 2,520,607,120,164
  5. Step 5: Solve for x
    x = 2,520,607,120,164/758,748
  6. Step 6: Final answer
    x = 3,322,060.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.