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Finding the Third Proportional to 928,614 and 1,400,376

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Solution

The third proportional to 928,614 and 1,400,376 is: 2,111,806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,614 : 1,400,376 = 1,400,376 : x
  2. Step 2: Convert to fraction form
    928,614/1,400,376 = 1,400,376/x
  3. Step 3: Cross multiply
    928,614x = 1,400,376 × 1,400,376
  4. Step 4: Simplify right side
    928,614x = 1,961,052,941,376
  5. Step 5: Solve for x
    x = 1,961,052,941,376/928,614
  6. Step 6: Final answer
    x = 2,111,806.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.