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Finding the Third Proportional to 1,967,490 and 2,894,973

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Solution

The third proportional to 1,967,490 and 2,894,973 is: 4,259,675.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967,490 : 2,894,973 = 2,894,973 : x
  2. Step 2: Convert to fraction form
    1,967,490/2,894,973 = 2,894,973/x
  3. Step 3: Cross multiply
    1,967,490x = 2,894,973 × 2,894,973
  4. Step 4: Simplify right side
    1,967,490x = 8,380,868,670,729
  5. Step 5: Solve for x
    x = 8,380,868,670,729/1,967,490
  6. Step 6: Final answer
    x = 4,259,675.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.