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Finding the Third Proportional to 791,046 and 1,257,705

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Solution

The third proportional to 791,046 and 1,257,705 is: 1,999,658.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,046 : 1,257,705 = 1,257,705 : x
  2. Step 2: Convert to fraction form
    791,046/1,257,705 = 1,257,705/x
  3. Step 3: Cross multiply
    791,046x = 1,257,705 × 1,257,705
  4. Step 4: Simplify right side
    791,046x = 1,581,821,867,025
  5. Step 5: Solve for x
    x = 1,581,821,867,025/791,046
  6. Step 6: Final answer
    x = 1,999,658.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.