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Finding the Third Proportional to 525,834,512 and 1,134,808,608

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Solution

The third proportional to 525,834,512 and 1,134,808,608 is: 2,449,041,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,834,512 : 1,134,808,608 = 1,134,808,608 : x
  2. Step 2: Convert to fraction form
    525,834,512/1,134,808,608 = 1,134,808,608/x
  3. Step 3: Cross multiply
    525,834,512x = 1,134,808,608 × 1,134,808,608
  4. Step 4: Simplify right side
    525,834,512x = 1,287,790,576,790,897,664
  5. Step 5: Solve for x
    x = 1,287,790,576,790,897,664/525,834,512
  6. Step 6: Final answer
    x = 2,449,041,566.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.