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Finding the Third Proportional to 537,060,268 and 829,315,034

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Solution

The third proportional to 537,060,268 and 829,315,034 is: 1,280,607,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,060,268 : 829,315,034 = 829,315,034 : x
  2. Step 2: Convert to fraction form
    537,060,268/829,315,034 = 829,315,034/x
  3. Step 3: Cross multiply
    537,060,268x = 829,315,034 × 829,315,034
  4. Step 4: Simplify right side
    537,060,268x = 687,763,425,618,421,120
  5. Step 5: Solve for x
    x = 687,763,425,618,421,120/537,060,268
  6. Step 6: Final answer
    x = 1,280,607,534.38

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