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Finding the Third Proportional to 546,481,900 and 845,259,246

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Solution

The third proportional to 546,481,900 and 845,259,246 is: 1,307,386,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,481,900 : 845,259,246 = 845,259,246 : x
  2. Step 2: Convert to fraction form
    546,481,900/845,259,246 = 845,259,246/x
  3. Step 3: Cross multiply
    546,481,900x = 845,259,246 × 845,259,246
  4. Step 4: Simplify right side
    546,481,900x = 714,463,192,948,488,576
  5. Step 5: Solve for x
    x = 714,463,192,948,488,576/546,481,900
  6. Step 6: Final answer
    x = 1,307,386,745.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.