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Finding the Third Proportional to 452,734,154 and 970,008,866

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Solution

The third proportional to 452,734,154 and 970,008,866 is: 2,078,299,575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,734,154 : 970,008,866 = 970,008,866 : x
  2. Step 2: Convert to fraction form
    452,734,154/970,008,866 = 970,008,866/x
  3. Step 3: Cross multiply
    452,734,154x = 970,008,866 × 970,008,866
  4. Step 4: Simplify right side
    452,734,154x = 940,917,200,118,605,952
  5. Step 5: Solve for x
    x = 940,917,200,118,605,952/452,734,154
  6. Step 6: Final answer
    x = 2,078,299,575.60

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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.