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Finding the Third Proportional to 524,734,314 and 1,148,317,062

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Solution

The third proportional to 524,734,314 and 1,148,317,062 is: 2,512,951,868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,734,314 : 1,148,317,062 = 1,148,317,062 : x
  2. Step 2: Convert to fraction form
    524,734,314/1,148,317,062 = 1,148,317,062/x
  3. Step 3: Cross multiply
    524,734,314x = 1,148,317,062 × 1,148,317,062
  4. Step 4: Simplify right side
    524,734,314x = 1,318,632,074,880,311,808
  5. Step 5: Solve for x
    x = 1,318,632,074,880,311,808/524,734,314
  6. Step 6: Final answer
    x = 2,512,951,868.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.