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Finding the Third Proportional to 687,181 and 1,048,541

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Solution

The third proportional to 687,181 and 1,048,541 is: 1,599,925.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,181 : 1,048,541 = 1,048,541 : x
  2. Step 2: Convert to fraction form
    687,181/1,048,541 = 1,048,541/x
  3. Step 3: Cross multiply
    687,181x = 1,048,541 × 1,048,541
  4. Step 4: Simplify right side
    687,181x = 1,099,438,228,681
  5. Step 5: Solve for x
    x = 1,099,438,228,681/687,181
  6. Step 6: Final answer
    x = 1,599,925.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.