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Finding the Third Proportional to 803,142 and 1,243,593

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Solution

The third proportional to 803,142 and 1,243,593 is: 1,925,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,142 : 1,243,593 = 1,243,593 : x
  2. Step 2: Convert to fraction form
    803,142/1,243,593 = 1,243,593/x
  3. Step 3: Cross multiply
    803,142x = 1,243,593 × 1,243,593
  4. Step 4: Simplify right side
    803,142x = 1,546,523,549,649
  5. Step 5: Solve for x
    x = 1,546,523,549,649/803,142
  6. Step 6: Final answer
    x = 1,925,591.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.