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Finding the Third Proportional to 824,271 and 1,757,418

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Solution

The third proportional to 824,271 and 1,757,418 is: 3,746,969.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,271 : 1,757,418 = 1,757,418 : x
  2. Step 2: Convert to fraction form
    824,271/1,757,418 = 1,757,418/x
  3. Step 3: Cross multiply
    824,271x = 1,757,418 × 1,757,418
  4. Step 4: Simplify right side
    824,271x = 3,088,518,026,724
  5. Step 5: Solve for x
    x = 3,088,518,026,724/824,271
  6. Step 6: Final answer
    x = 3,746,969.17

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.