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Finding the Third Proportional to 785,797,570 and 1,309,583,689

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Solution

The third proportional to 785,797,570 and 1,309,583,689 is: 2,182,507,943.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,797,570 : 1,309,583,689 = 1,309,583,689 : x
  2. Step 2: Convert to fraction form
    785,797,570/1,309,583,689 = 1,309,583,689/x
  3. Step 3: Cross multiply
    785,797,570x = 1,309,583,689 × 1,309,583,689
  4. Step 4: Simplify right side
    785,797,570x = 1,715,009,438,494,848,768
  5. Step 5: Solve for x
    x = 1,715,009,438,494,848,768/785,797,570
  6. Step 6: Final answer
    x = 2,182,507,943.48

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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.