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Finding the Third Proportional to 524,734,300 and 1,148,317,040

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Solution

The third proportional to 524,734,300 and 1,148,317,040 is: 2,512,951,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,734,300 : 1,148,317,040 = 1,148,317,040 : x
  2. Step 2: Convert to fraction form
    524,734,300/1,148,317,040 = 1,148,317,040/x
  3. Step 3: Cross multiply
    524,734,300x = 1,148,317,040 × 1,148,317,040
  4. Step 4: Simplify right side
    524,734,300x = 1,318,632,024,354,361,600
  5. Step 5: Solve for x
    x = 1,318,632,024,354,361,600/524,734,300
  6. Step 6: Final answer
    x = 2,512,951,839.35

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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.