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Finding the Third Proportional to 600,339,600 and 896,975,208

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Solution

The third proportional to 600,339,600 and 896,975,208 is: 1,340,182,329.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,339,600 : 896,975,208 = 896,975,208 : x
  2. Step 2: Convert to fraction form
    600,339,600/896,975,208 = 896,975,208/x
  3. Step 3: Cross multiply
    600,339,600x = 896,975,208 × 896,975,208
  4. Step 4: Simplify right side
    600,339,600x = 804,564,523,766,643,200
  5. Step 5: Solve for x
    x = 804,564,523,766,643,200/600,339,600
  6. Step 6: Final answer
    x = 1,340,182,329.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.