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Finding the Third Proportional to 785,797,550 and 1,309,583,658

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Solution

The third proportional to 785,797,550 and 1,309,583,658 is: 2,182,507,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,797,550 : 1,309,583,658 = 1,309,583,658 : x
  2. Step 2: Convert to fraction form
    785,797,550/1,309,583,658 = 1,309,583,658/x
  3. Step 3: Cross multiply
    785,797,550x = 1,309,583,658 × 1,309,583,658
  4. Step 4: Simplify right side
    785,797,550x = 1,715,009,357,300,660,992
  5. Step 5: Solve for x
    x = 1,715,009,357,300,660,992/785,797,550
  6. Step 6: Final answer
    x = 2,182,507,895.71

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.