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Finding the Third Proportional to 451,061,828.25 and 717,735,498

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Solution

The third proportional to 451,061,828.25 and 717,735,498 is: 1,142,070,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,061,828.25 : 717,735,498 = 717,735,498 : x
  2. Step 2: Convert to fraction form
    451,061,828.25/717,735,498 = 717,735,498/x
  3. Step 3: Cross multiply
    451,061,828.25x = 717,735,498 × 717,735,498
  4. Step 4: Simplify right side
    451,061,828.25x = 515,144,245,089,308,032
  5. Step 5: Solve for x
    x = 515,144,245,089,308,032/451,061,828.25
  6. Step 6: Final answer
    x = 1,142,070,139.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.