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Finding the Third Proportional to 913,843,314 and 1,392,191,739

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Solution

The third proportional to 913,843,314 and 1,392,191,739 is: 2,120,930,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,843,314 : 1,392,191,739 = 1,392,191,739 : x
  2. Step 2: Convert to fraction form
    913,843,314/1,392,191,739 = 1,392,191,739/x
  3. Step 3: Cross multiply
    913,843,314x = 1,392,191,739 × 1,392,191,739
  4. Step 4: Simplify right side
    913,843,314x = 1,938,197,838,139,844,096
  5. Step 5: Solve for x
    x = 1,938,197,838,139,844,096/913,843,314
  6. Step 6: Final answer
    x = 2,120,930,151.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.