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Finding the Third Proportional to 857,319 and 1,862,382

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Solution

The third proportional to 857,319 and 1,862,382 is: 4,045,713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,319 : 1,862,382 = 1,862,382 : x
  2. Step 2: Convert to fraction form
    857,319/1,862,382 = 1,862,382/x
  3. Step 3: Cross multiply
    857,319x = 1,862,382 × 1,862,382
  4. Step 4: Simplify right side
    857,319x = 3,468,466,713,924
  5. Step 5: Solve for x
    x = 3,468,466,713,924/857,319
  6. Step 6: Final answer
    x = 4,045,713.11

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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.