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Finding the Third Proportional to 790,938 and 1,706,292

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Solution

The third proportional to 790,938 and 1,706,292 is: 3,680,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,938 : 1,706,292 = 1,706,292 : x
  2. Step 2: Convert to fraction form
    790,938/1,706,292 = 1,706,292/x
  3. Step 3: Cross multiply
    790,938x = 1,706,292 × 1,706,292
  4. Step 4: Simplify right side
    790,938x = 2,911,432,389,264
  5. Step 5: Solve for x
    x = 2,911,432,389,264/790,938
  6. Step 6: Final answer
    x = 3,680,986.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.