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Finding the Third Proportional to 429,295,259 and 926,575,600

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Solution

The third proportional to 429,295,259 and 926,575,600 is: 1,999,887,780.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,295,259 : 926,575,600 = 926,575,600 : x
  2. Step 2: Convert to fraction form
    429,295,259/926,575,600 = 926,575,600/x
  3. Step 3: Cross multiply
    429,295,259x = 926,575,600 × 926,575,600
  4. Step 4: Simplify right side
    429,295,259x = 858,542,342,515,360,000
  5. Step 5: Solve for x
    x = 858,542,342,515,360,000/429,295,259
  6. Step 6: Final answer
    x = 1,999,887,780.07

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Why These Related Problems?

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