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Finding the Third Proportional to 605,944,973 and 1,308,744,832

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Solution

The third proportional to 605,944,973 and 1,308,744,832 is: 2,826,680,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,944,973 : 1,308,744,832 = 1,308,744,832 : x
  2. Step 2: Convert to fraction form
    605,944,973/1,308,744,832 = 1,308,744,832/x
  3. Step 3: Cross multiply
    605,944,973x = 1,308,744,832 × 1,308,744,832
  4. Step 4: Simplify right side
    605,944,973x = 1,712,813,035,286,708,224
  5. Step 5: Solve for x
    x = 1,712,813,035,286,708,224/605,944,973
  6. Step 6: Final answer
    x = 2,826,680,823.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.