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Finding the Third Proportional to 642,271 and 1,398,941

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Solution

The third proportional to 642,271 and 1,398,941 is: 3,047,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,271 : 1,398,941 = 1,398,941 : x
  2. Step 2: Convert to fraction form
    642,271/1,398,941 = 1,398,941/x
  3. Step 3: Cross multiply
    642,271x = 1,398,941 × 1,398,941
  4. Step 4: Simplify right side
    642,271x = 1,957,035,921,481
  5. Step 5: Solve for x
    x = 1,957,035,921,481/642,271
  6. Step 6: Final answer
    x = 3,047,056.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.