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Finding the Third Proportional to 816,701,714 and 1,255,329,075

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Solution

The third proportional to 816,701,714 and 1,255,329,075 is: 1,929,530,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,701,714 : 1,255,329,075 = 1,255,329,075 : x
  2. Step 2: Convert to fraction form
    816,701,714/1,255,329,075 = 1,255,329,075/x
  3. Step 3: Cross multiply
    816,701,714x = 1,255,329,075 × 1,255,329,075
  4. Step 4: Simplify right side
    816,701,714x = 1,575,851,086,540,355,584
  5. Step 5: Solve for x
    x = 1,575,851,086,540,355,584/816,701,714
  6. Step 6: Final answer
    x = 1,929,530,769.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.