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Finding the Third Proportional to 1,139,584 and 2,431,712

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Solution

The third proportional to 1,139,584 and 2,431,712 is: 5,188,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139,584 : 2,431,712 = 2,431,712 : x
  2. Step 2: Convert to fraction form
    1,139,584/2,431,712 = 2,431,712/x
  3. Step 3: Cross multiply
    1,139,584x = 2,431,712 × 2,431,712
  4. Step 4: Simplify right side
    1,139,584x = 5,913,223,250,944
  5. Step 5: Solve for x
    x = 5,913,223,250,944/1,139,584
  6. Step 6: Final answer
    x = 5,188,931.44

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Why These Related Problems?

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