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Finding the Third Proportional to 461,328,464 and 1,010,285,626

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Solution

The third proportional to 461,328,464 and 1,010,285,626 is: 2,212,473,596.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,328,464 : 1,010,285,626 = 1,010,285,626 : x
  2. Step 2: Convert to fraction form
    461,328,464/1,010,285,626 = 1,010,285,626/x
  3. Step 3: Cross multiply
    461,328,464x = 1,010,285,626 × 1,010,285,626
  4. Step 4: Simplify right side
    461,328,464x = 1,020,677,046,102,211,840
  5. Step 5: Solve for x
    x = 1,020,677,046,102,211,840/461,328,464
  6. Step 6: Final answer
    x = 2,212,473,596.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.