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Finding the Third Proportional to 942,680 and 2,034,784

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Solution

The third proportional to 942,680 and 2,034,784 is: 4,392,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,680 : 2,034,784 = 2,034,784 : x
  2. Step 2: Convert to fraction form
    942,680/2,034,784 = 2,034,784/x
  3. Step 3: Cross multiply
    942,680x = 2,034,784 × 2,034,784
  4. Step 4: Simplify right side
    942,680x = 4,140,345,926,656
  5. Step 5: Solve for x
    x = 4,140,345,926,656/942,680
  6. Step 6: Final answer
    x = 4,392,101.17

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Why These Related Problems?

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