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Finding the Third Proportional to 1,120,284 and 1,610,442

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Solution

The third proportional to 1,120,284 and 1,610,442 is: 2,315,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120,284 : 1,610,442 = 1,610,442 : x
  2. Step 2: Convert to fraction form
    1,120,284/1,610,442 = 1,610,442/x
  3. Step 3: Cross multiply
    1,120,284x = 1,610,442 × 1,610,442
  4. Step 4: Simplify right side
    1,120,284x = 2,593,523,435,364
  5. Step 5: Solve for x
    x = 2,593,523,435,364/1,120,284
  6. Step 6: Final answer
    x = 2,315,058.89

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.