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Finding the Third Proportional to 896,384 and 1,935,382

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Solution

The third proportional to 896,384 and 1,935,382 is: 4,178,681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,384 : 1,935,382 = 1,935,382 : x
  2. Step 2: Convert to fraction form
    896,384/1,935,382 = 1,935,382/x
  3. Step 3: Cross multiply
    896,384x = 1,935,382 × 1,935,382
  4. Step 4: Simplify right side
    896,384x = 3,745,703,485,924
  5. Step 5: Solve for x
    x = 3,745,703,485,924/896,384
  6. Step 6: Final answer
    x = 4,178,681.78

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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.