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Finding the Third Proportional to 913,843,390 and 1,392,191,844

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Solution

The third proportional to 913,843,390 and 1,392,191,844 is: 2,120,930,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,843,390 : 1,392,191,844 = 1,392,191,844 : x
  2. Step 2: Convert to fraction form
    913,843,390/1,392,191,844 = 1,392,191,844/x
  3. Step 3: Cross multiply
    913,843,390x = 1,392,191,844 × 1,392,191,844
  4. Step 4: Simplify right side
    913,843,390x = 1,938,198,130,500,120,320
  5. Step 5: Solve for x
    x = 1,938,198,130,500,120,320/913,843,390
  6. Step 6: Final answer
    x = 2,120,930,294.74

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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.