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Finding the Third Proportional to 468,377 and 1,014,919

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Solution

The third proportional to 468,377 and 1,014,919 is: 2,199,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,377 : 1,014,919 = 1,014,919 : x
  2. Step 2: Convert to fraction form
    468,377/1,014,919 = 1,014,919/x
  3. Step 3: Cross multiply
    468,377x = 1,014,919 × 1,014,919
  4. Step 4: Simplify right side
    468,377x = 1,030,060,576,561
  5. Step 5: Solve for x
    x = 1,030,060,576,561/468,377
  6. Step 6: Final answer
    x = 2,199,212.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.