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Finding the Third Proportional to 834,438 and 1,549,686

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Solution

The third proportional to 834,438 and 1,549,686 is: 2,878,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,438 : 1,549,686 = 1,549,686 : x
  2. Step 2: Convert to fraction form
    834,438/1,549,686 = 1,549,686/x
  3. Step 3: Cross multiply
    834,438x = 1,549,686 × 1,549,686
  4. Step 4: Simplify right side
    834,438x = 2,401,526,698,596
  5. Step 5: Solve for x
    x = 2,401,526,698,596/834,438
  6. Step 6: Final answer
    x = 2,878,016.94

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.