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Finding the Third Proportional to 1,002,562,114 and 1,532,659,084

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Solution

The third proportional to 1,002,562,114 and 1,532,659,084 is: 2,343,040,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,562,114 : 1,532,659,084 = 1,532,659,084 : x
  2. Step 2: Convert to fraction form
    1,002,562,114/1,532,659,084 = 1,532,659,084/x
  3. Step 3: Cross multiply
    1,002,562,114x = 1,532,659,084 × 1,532,659,084
  4. Step 4: Simplify right side
    1,002,562,114x = 2,349,043,867,767,718,912
  5. Step 5: Solve for x
    x = 2,349,043,867,767,718,912/1,002,562,114
  6. Step 6: Final answer
    x = 2,343,040,730.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.