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Finding the Third Proportional to 537,060,144 and 829,314,830

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Solution

The third proportional to 537,060,144 and 829,314,830 is: 1,280,607,200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,060,144 : 829,314,830 = 829,314,830 : x
  2. Step 2: Convert to fraction form
    537,060,144/829,314,830 = 829,314,830/x
  3. Step 3: Cross multiply
    537,060,144x = 829,314,830 × 829,314,830
  4. Step 4: Simplify right side
    537,060,144x = 687,763,087,257,928,960
  5. Step 5: Solve for x
    x = 687,763,087,257,928,960/537,060,144
  6. Step 6: Final answer
    x = 1,280,607,200.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.