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Finding the Third Proportional to 797,894 and 1,748,392

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Solution

The third proportional to 797,894 and 1,748,392 is: 3,831,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,894 : 1,748,392 = 1,748,392 : x
  2. Step 2: Convert to fraction form
    797,894/1,748,392 = 1,748,392/x
  3. Step 3: Cross multiply
    797,894x = 1,748,392 × 1,748,392
  4. Step 4: Simplify right side
    797,894x = 3,056,874,585,664
  5. Step 5: Solve for x
    x = 3,056,874,585,664/797,894
  6. Step 6: Final answer
    x = 3,831,178.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.