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Finding the Third Proportional to 797,657 and 1,750,298

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Solution

The third proportional to 797,657 and 1,750,298 is: 3,840,677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,657 : 1,750,298 = 1,750,298 : x
  2. Step 2: Convert to fraction form
    797,657/1,750,298 = 1,750,298/x
  3. Step 3: Cross multiply
    797,657x = 1,750,298 × 1,750,298
  4. Step 4: Simplify right side
    797,657x = 3,063,543,088,804
  5. Step 5: Solve for x
    x = 3,063,543,088,804/797,657
  6. Step 6: Final answer
    x = 3,840,677.24

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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.