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Finding the Third Proportional to 913,840 and 1,967,712

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Solution

The third proportional to 913,840 and 1,967,712 is: 4,236,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,840 : 1,967,712 = 1,967,712 : x
  2. Step 2: Convert to fraction form
    913,840/1,967,712 = 1,967,712/x
  3. Step 3: Cross multiply
    913,840x = 1,967,712 × 1,967,712
  4. Step 4: Simplify right side
    913,840x = 3,871,890,514,944
  5. Step 5: Solve for x
    x = 3,871,890,514,944/913,840
  6. Step 6: Final answer
    x = 4,236,945.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.