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Finding the Third Proportional to 693,670.50 and 1,513,393.88

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Solution

The third proportional to 693,670.50 and 1,513,393.88 is: 3,301,799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,670.50 : 1,513,393.88 = 1,513,393.88 : x
  2. Step 2: Convert to fraction form
    693,670.50/1,513,393.88 = 1,513,393.88/x
  3. Step 3: Cross multiply
    693,670.50x = 1,513,393.88 × 1,513,393.88
  4. Step 4: Simplify right side
    693,670.50x = 2,290,361,020,887.52
  5. Step 5: Solve for x
    x = 2,290,361,020,887.52/693,670.50
  6. Step 6: Final answer
    x = 3,301,799.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.