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Finding the Third Proportional to 851,712 and 1,862,400

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Solution

The third proportional to 851,712 and 1,862,400 is: 4,072,425.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,712 : 1,862,400 = 1,862,400 : x
  2. Step 2: Convert to fraction form
    851,712/1,862,400 = 1,862,400/x
  3. Step 3: Cross multiply
    851,712x = 1,862,400 × 1,862,400
  4. Step 4: Simplify right side
    851,712x = 3,468,533,760,000
  5. Step 5: Solve for x
    x = 3,468,533,760,000/851,712
  6. Step 6: Final answer
    x = 4,072,425.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.