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Finding the Third Proportional to 1,037,251 and 1,398,289

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Solution

The third proportional to 1,037,251 and 1,398,289 is: 1,884,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,251 : 1,398,289 = 1,398,289 : x
  2. Step 2: Convert to fraction form
    1,037,251/1,398,289 = 1,398,289/x
  3. Step 3: Cross multiply
    1,037,251x = 1,398,289 × 1,398,289
  4. Step 4: Simplify right side
    1,037,251x = 1,955,212,127,521
  5. Step 5: Solve for x
    x = 1,955,212,127,521/1,037,251
  6. Step 6: Final answer
    x = 1,884,994.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.