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Finding the Third Proportional to 1,742,832 and 2,640,330

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Solution

The third proportional to 1,742,832 and 2,640,330 is: 4,000,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,832 : 2,640,330 = 2,640,330 : x
  2. Step 2: Convert to fraction form
    1,742,832/2,640,330 = 2,640,330/x
  3. Step 3: Cross multiply
    1,742,832x = 2,640,330 × 2,640,330
  4. Step 4: Simplify right side
    1,742,832x = 6,971,342,508,900
  5. Step 5: Solve for x
    x = 6,971,342,508,900/1,742,832
  6. Step 6: Final answer
    x = 4,000,008.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.