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Finding the Third Proportional to 521,826,413 and 1,118,350,701

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Solution

The third proportional to 521,826,413 and 1,118,350,701 is: 2,396,789,927.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,826,413 : 1,118,350,701 = 1,118,350,701 : x
  2. Step 2: Convert to fraction form
    521,826,413/1,118,350,701 = 1,118,350,701/x
  3. Step 3: Cross multiply
    521,826,413x = 1,118,350,701 × 1,118,350,701
  4. Step 4: Simplify right side
    521,826,413x = 1,250,708,290,427,191,296
  5. Step 5: Solve for x
    x = 1,250,708,290,427,191,296/521,826,413
  6. Step 6: Final answer
    x = 2,396,789,927.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.