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Finding the Third Proportional to 996,966 and 2,174,382

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Solution

The third proportional to 996,966 and 2,174,382 is: 4,742,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,966 : 2,174,382 = 2,174,382 : x
  2. Step 2: Convert to fraction form
    996,966/2,174,382 = 2,174,382/x
  3. Step 3: Cross multiply
    996,966x = 2,174,382 × 2,174,382
  4. Step 4: Simplify right side
    996,966x = 4,727,937,081,924
  5. Step 5: Solve for x
    x = 4,727,937,081,924/996,966
  6. Step 6: Final answer
    x = 4,742,325.30

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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.