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Finding the Third Proportional to 785,797,558 and 1,309,583,670

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Solution

The third proportional to 785,797,558 and 1,309,583,670 is: 2,182,507,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,797,558 : 1,309,583,670 = 1,309,583,670 : x
  2. Step 2: Convert to fraction form
    785,797,558/1,309,583,670 = 1,309,583,670/x
  3. Step 3: Cross multiply
    785,797,558x = 1,309,583,670 × 1,309,583,670
  4. Step 4: Simplify right side
    785,797,558x = 1,715,009,388,730,668,800
  5. Step 5: Solve for x
    x = 1,715,009,388,730,668,800/785,797,558
  6. Step 6: Final answer
    x = 2,182,507,913.48

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Why These Related Problems?

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