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Finding the Third Proportional to 429,295,257 and 926,575,596

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Solution

The third proportional to 429,295,257 and 926,575,596 is: 1,999,887,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,295,257 : 926,575,596 = 926,575,596 : x
  2. Step 2: Convert to fraction form
    429,295,257/926,575,596 = 926,575,596/x
  3. Step 3: Cross multiply
    429,295,257x = 926,575,596 × 926,575,596
  4. Step 4: Simplify right side
    429,295,257x = 858,542,335,102,755,200
  5. Step 5: Solve for x
    x = 858,542,335,102,755,200/429,295,257
  6. Step 6: Final answer
    x = 1,999,887,772.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.