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Finding the Third Proportional to 524,732,282 and 1,148,313,077

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Solution

The third proportional to 524,732,282 and 1,148,313,077 is: 2,512,944,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,732,282 : 1,148,313,077 = 1,148,313,077 : x
  2. Step 2: Convert to fraction form
    524,732,282/1,148,313,077 = 1,148,313,077/x
  3. Step 3: Cross multiply
    524,732,282x = 1,148,313,077 × 1,148,313,077
  4. Step 4: Simplify right side
    524,732,282x = 1,318,622,922,809,207,808
  5. Step 5: Solve for x
    x = 1,318,622,922,809,207,808/524,732,282
  6. Step 6: Final answer
    x = 2,512,944,158.46

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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.