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Finding the Third Proportional to 798,016 and 1,708,128

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Solution

The third proportional to 798,016 and 1,708,128 is: 3,656,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,016 : 1,708,128 = 1,708,128 : x
  2. Step 2: Convert to fraction form
    798,016/1,708,128 = 1,708,128/x
  3. Step 3: Cross multiply
    798,016x = 1,708,128 × 1,708,128
  4. Step 4: Simplify right side
    798,016x = 2,917,701,264,384
  5. Step 5: Solve for x
    x = 2,917,701,264,384/798,016
  6. Step 6: Final answer
    x = 3,656,193.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.