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Finding the Third Proportional to 857,460 and 1,862,488

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Solution

The third proportional to 857,460 and 1,862,488 is: 4,045,508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,460 : 1,862,488 = 1,862,488 : x
  2. Step 2: Convert to fraction form
    857,460/1,862,488 = 1,862,488/x
  3. Step 3: Cross multiply
    857,460x = 1,862,488 × 1,862,488
  4. Step 4: Simplify right side
    857,460x = 3,468,861,550,144
  5. Step 5: Solve for x
    x = 3,468,861,550,144/857,460
  6. Step 6: Final answer
    x = 4,045,508.30

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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.