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Finding the Third Proportional to 1,938,024 and 2,974,815

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Solution

The third proportional to 1,938,024 and 2,974,815 is: 4,566,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938,024 : 2,974,815 = 2,974,815 : x
  2. Step 2: Convert to fraction form
    1,938,024/2,974,815 = 2,974,815/x
  3. Step 3: Cross multiply
    1,938,024x = 2,974,815 × 2,974,815
  4. Step 4: Simplify right side
    1,938,024x = 8,849,524,284,225
  5. Step 5: Solve for x
    x = 8,849,524,284,225/1,938,024
  6. Step 6: Final answer
    x = 4,566,261.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.