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Finding the Third Proportional to 452,830,794 and 970,241,556

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Solution

The third proportional to 452,830,794 and 970,241,556 is: 2,078,853,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,830,794 : 970,241,556 = 970,241,556 : x
  2. Step 2: Convert to fraction form
    452,830,794/970,241,556 = 970,241,556/x
  3. Step 3: Cross multiply
    452,830,794x = 970,241,556 × 970,241,556
  4. Step 4: Simplify right side
    452,830,794x = 941,368,676,989,301,120
  5. Step 5: Solve for x
    x = 941,368,676,989,301,120/452,830,794
  6. Step 6: Final answer
    x = 2,078,853,049.44

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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.