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Finding the Third Proportional to 857,946 and 1,865,292

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Solution

The third proportional to 857,946 and 1,865,292 is: 4,055,400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,946 : 1,865,292 = 1,865,292 : x
  2. Step 2: Convert to fraction form
    857,946/1,865,292 = 1,865,292/x
  3. Step 3: Cross multiply
    857,946x = 1,865,292 × 1,865,292
  4. Step 4: Simplify right side
    857,946x = 3,479,314,245,264
  5. Step 5: Solve for x
    x = 3,479,314,245,264/857,946
  6. Step 6: Final answer
    x = 4,055,400.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.