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Finding the Third Proportional to 1,012,918 and 2,161,428

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Solution

The third proportional to 1,012,918 and 2,161,428 is: 4,612,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012,918 : 2,161,428 = 2,161,428 : x
  2. Step 2: Convert to fraction form
    1,012,918/2,161,428 = 2,161,428/x
  3. Step 3: Cross multiply
    1,012,918x = 2,161,428 × 2,161,428
  4. Step 4: Simplify right side
    1,012,918x = 4,671,770,999,184
  5. Step 5: Solve for x
    x = 4,671,770,999,184/1,012,918
  6. Step 6: Final answer
    x = 4,612,190.72

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.