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Finding the Third Proportional to 1,230,442 and 1,646,289

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Solution

The third proportional to 1,230,442 and 1,646,289 is: 2,202,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230,442 : 1,646,289 = 1,646,289 : x
  2. Step 2: Convert to fraction form
    1,230,442/1,646,289 = 1,646,289/x
  3. Step 3: Cross multiply
    1,230,442x = 1,646,289 × 1,646,289
  4. Step 4: Simplify right side
    1,230,442x = 2,710,267,471,521
  5. Step 5: Solve for x
    x = 2,710,267,471,521/1,230,442
  6. Step 6: Final answer
    x = 2,202,677.96

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.