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Finding the Third Proportional to 810,274 and 1,746,143

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Solution

The third proportional to 810,274 and 1,746,143 is: 3,762,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,274 : 1,746,143 = 1,746,143 : x
  2. Step 2: Convert to fraction form
    810,274/1,746,143 = 1,746,143/x
  3. Step 3: Cross multiply
    810,274x = 1,746,143 × 1,746,143
  4. Step 4: Simplify right side
    810,274x = 3,049,015,376,449
  5. Step 5: Solve for x
    x = 3,049,015,376,449/810,274
  6. Step 6: Final answer
    x = 3,762,943.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.