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Finding the Third Proportional to 857,352 and 1,862,304

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Solution

The third proportional to 857,352 and 1,862,304 is: 4,045,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,352 : 1,862,304 = 1,862,304 : x
  2. Step 2: Convert to fraction form
    857,352/1,862,304 = 1,862,304/x
  3. Step 3: Cross multiply
    857,352x = 1,862,304 × 1,862,304
  4. Step 4: Simplify right side
    857,352x = 3,468,176,188,416
  5. Step 5: Solve for x
    x = 3,468,176,188,416/857,352
  6. Step 6: Final answer
    x = 4,045,218.52

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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.