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Finding the Third Proportional to 514,129,599 and 783,240,879

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Solution

The third proportional to 514,129,599 and 783,240,879 is: 1,193,213,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,129,599 : 783,240,879 = 783,240,879 : x
  2. Step 2: Convert to fraction form
    514,129,599/783,240,879 = 783,240,879/x
  3. Step 3: Cross multiply
    514,129,599x = 783,240,879 × 783,240,879
  4. Step 4: Simplify right side
    514,129,599x = 613,466,274,536,692,608
  5. Step 5: Solve for x
    x = 613,466,274,536,692,608/514,129,599
  6. Step 6: Final answer
    x = 1,193,213,298.22

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.