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Finding the Third Proportional to 452,830,464 and 970,240,824

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Solution

The third proportional to 452,830,464 and 970,240,824 is: 2,078,851,427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,830,464 : 970,240,824 = 970,240,824 : x
  2. Step 2: Convert to fraction form
    452,830,464/970,240,824 = 970,240,824/x
  3. Step 3: Cross multiply
    452,830,464x = 970,240,824 × 970,240,824
  4. Step 4: Simplify right side
    452,830,464x = 941,367,256,556,198,912
  5. Step 5: Solve for x
    x = 941,367,256,556,198,912/452,830,464
  6. Step 6: Final answer
    x = 2,078,851,427.62

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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.