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Finding the Third Proportional to 452,154,317 and 979,442,686

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Solution

The third proportional to 452,154,317 and 979,442,686 is: 2,121,638,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,154,317 : 979,442,686 = 979,442,686 : x
  2. Step 2: Convert to fraction form
    452,154,317/979,442,686 = 979,442,686/x
  3. Step 3: Cross multiply
    452,154,317x = 979,442,686 × 979,442,686
  4. Step 4: Simplify right side
    452,154,317x = 959,307,975,158,894,592
  5. Step 5: Solve for x
    x = 959,307,975,158,894,592/452,154,317
  6. Step 6: Final answer
    x = 2,121,638,429.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.