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Finding the Third Proportional to 461,328,462 and 1,010,285,622

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Solution

The third proportional to 461,328,462 and 1,010,285,622 is: 2,212,473,588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,328,462 : 1,010,285,622 = 1,010,285,622 : x
  2. Step 2: Convert to fraction form
    461,328,462/1,010,285,622 = 1,010,285,622/x
  3. Step 3: Cross multiply
    461,328,462x = 1,010,285,622 × 1,010,285,622
  4. Step 4: Simplify right side
    461,328,462x = 1,020,677,038,019,926,912
  5. Step 5: Solve for x
    x = 1,020,677,038,019,926,912/461,328,462
  6. Step 6: Final answer
    x = 2,212,473,588.98

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