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Finding the Third Proportional to 681,445 and 1,050,598

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Solution

The third proportional to 681,445 and 1,050,598 is: 1,619,728.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,445 : 1,050,598 = 1,050,598 : x
  2. Step 2: Convert to fraction form
    681,445/1,050,598 = 1,050,598/x
  3. Step 3: Cross multiply
    681,445x = 1,050,598 × 1,050,598
  4. Step 4: Simplify right side
    681,445x = 1,103,756,157,604
  5. Step 5: Solve for x
    x = 1,103,756,157,604/681,445
  6. Step 6: Final answer
    x = 1,619,728.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.