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Finding the Third Proportional to 519,492,132 and 779,921,532

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Solution

The third proportional to 519,492,132 and 779,921,532 is: 1,170,908,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,492,132 : 779,921,532 = 779,921,532 : x
  2. Step 2: Convert to fraction form
    519,492,132/779,921,532 = 779,921,532/x
  3. Step 3: Cross multiply
    519,492,132x = 779,921,532 × 779,921,532
  4. Step 4: Simplify right side
    519,492,132x = 608,277,596,077,227,008
  5. Step 5: Solve for x
    x = 608,277,596,077,227,008/519,492,132
  6. Step 6: Final answer
    x = 1,170,908,197.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.