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Finding the Third Proportional to 791,833 and 1,728,862

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Solution

The third proportional to 791,833 and 1,728,862 is: 3,774,740.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,833 : 1,728,862 = 1,728,862 : x
  2. Step 2: Convert to fraction form
    791,833/1,728,862 = 1,728,862/x
  3. Step 3: Cross multiply
    791,833x = 1,728,862 × 1,728,862
  4. Step 4: Simplify right side
    791,833x = 2,988,963,815,044
  5. Step 5: Solve for x
    x = 2,988,963,815,044/791,833
  6. Step 6: Final answer
    x = 3,774,740.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.