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Finding the Third Proportional to 857,313 and 1,862,370

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Solution

The third proportional to 857,313 and 1,862,370 is: 4,045,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,313 : 1,862,370 = 1,862,370 : x
  2. Step 2: Convert to fraction form
    857,313/1,862,370 = 1,862,370/x
  3. Step 3: Cross multiply
    857,313x = 1,862,370 × 1,862,370
  4. Step 4: Simplify right side
    857,313x = 3,468,422,016,900
  5. Step 5: Solve for x
    x = 3,468,422,016,900/857,313
  6. Step 6: Final answer
    x = 4,045,689.28

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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.