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Finding the Third Proportional to 791,712 and 1,707,840

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Solution

The third proportional to 791,712 and 1,707,840 is: 3,684,063.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,712 : 1,707,840 = 1,707,840 : x
  2. Step 2: Convert to fraction form
    791,712/1,707,840 = 1,707,840/x
  3. Step 3: Cross multiply
    791,712x = 1,707,840 × 1,707,840
  4. Step 4: Simplify right side
    791,712x = 2,916,717,465,600
  5. Step 5: Solve for x
    x = 2,916,717,465,600/791,712
  6. Step 6: Final answer
    x = 3,684,063.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.