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Finding the Third Proportional to 512,597,572 and 1,118,342,680

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Solution

The third proportional to 512,597,572 and 1,118,342,680 is: 2,439,906,894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,597,572 : 1,118,342,680 = 1,118,342,680 : x
  2. Step 2: Convert to fraction form
    512,597,572/1,118,342,680 = 1,118,342,680/x
  3. Step 3: Cross multiply
    512,597,572x = 1,118,342,680 × 1,118,342,680
  4. Step 4: Simplify right side
    512,597,572x = 1,250,690,349,909,582,336
  5. Step 5: Solve for x
    x = 1,250,690,349,909,582,336/512,597,572
  6. Step 6: Final answer
    x = 2,439,906,894.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.