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Finding the Third Proportional to 537,060,270 and 829,315,037

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Solution

The third proportional to 537,060,270 and 829,315,037 is: 1,280,607,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,060,270 : 829,315,037 = 829,315,037 : x
  2. Step 2: Convert to fraction form
    537,060,270/829,315,037 = 829,315,037/x
  3. Step 3: Cross multiply
    537,060,270x = 829,315,037 × 829,315,037
  4. Step 4: Simplify right side
    537,060,270x = 687,763,430,594,311,424
  5. Step 5: Solve for x
    x = 687,763,430,594,311,424/537,060,270
  6. Step 6: Final answer
    x = 1,280,607,538.88

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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.