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Finding the Third Proportional to 2,083,143 and 4,566,510

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Solution

The third proportional to 2,083,143 and 4,566,510 is: 10,010,361.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083,143 : 4,566,510 = 4,566,510 : x
  2. Step 2: Convert to fraction form
    2,083,143/4,566,510 = 4,566,510/x
  3. Step 3: Cross multiply
    2,083,143x = 4,566,510 × 4,566,510
  4. Step 4: Simplify right side
    2,083,143x = 20,853,013,580,100
  5. Step 5: Solve for x
    x = 20,853,013,580,100/2,083,143
  6. Step 6: Final answer
    x = 10,010,361.07

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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.