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Finding the Third Proportional to 1,023,307 and 1,566,151

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Solution

The third proportional to 1,023,307 and 1,566,151 is: 2,396,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,307 : 1,566,151 = 1,566,151 : x
  2. Step 2: Convert to fraction form
    1,023,307/1,566,151 = 1,566,151/x
  3. Step 3: Cross multiply
    1,023,307x = 1,566,151 × 1,566,151
  4. Step 4: Simplify right side
    1,023,307x = 2,452,828,954,801
  5. Step 5: Solve for x
    x = 2,452,828,954,801/1,023,307
  6. Step 6: Final answer
    x = 2,396,962.94

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