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Finding the Third Proportional to 2,112,381 and 4,561,461

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Solution

The third proportional to 2,112,381 and 4,561,461 is: 9,849,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112,381 : 4,561,461 = 4,561,461 : x
  2. Step 2: Convert to fraction form
    2,112,381/4,561,461 = 4,561,461/x
  3. Step 3: Cross multiply
    2,112,381x = 4,561,461 × 4,561,461
  4. Step 4: Simplify right side
    2,112,381x = 20,806,926,454,521
  5. Step 5: Solve for x
    x = 20,806,926,454,521/2,112,381
  6. Step 6: Final answer
    x = 9,849,987.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.