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Finding the Third Proportional to 834,464 and 1,708,598

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Solution

The third proportional to 834,464 and 1,708,598 is: 3,498,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,464 : 1,708,598 = 1,708,598 : x
  2. Step 2: Convert to fraction form
    834,464/1,708,598 = 1,708,598/x
  3. Step 3: Cross multiply
    834,464x = 1,708,598 × 1,708,598
  4. Step 4: Simplify right side
    834,464x = 2,919,307,125,604
  5. Step 5: Solve for x
    x = 2,919,307,125,604/834,464
  6. Step 6: Final answer
    x = 3,498,421.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.