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Finding the Third Proportional to 452,830,788 and 970,241,544

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Solution

The third proportional to 452,830,788 and 970,241,544 is: 2,078,853,025.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,830,788 : 970,241,544 = 970,241,544 : x
  2. Step 2: Convert to fraction form
    452,830,788/970,241,544 = 970,241,544/x
  3. Step 3: Cross multiply
    452,830,788x = 970,241,544 × 970,241,544
  4. Step 4: Simplify right side
    452,830,788x = 941,368,653,703,503,872
  5. Step 5: Solve for x
    x = 941,368,653,703,503,872/452,830,788
  6. Step 6: Final answer
    x = 2,078,853,025.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.