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Finding the Third Proportional to 1,956,045 and 4,201,320

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Solution

The third proportional to 1,956,045 and 4,201,320 is: 9,023,866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956,045 : 4,201,320 = 4,201,320 : x
  2. Step 2: Convert to fraction form
    1,956,045/4,201,320 = 4,201,320/x
  3. Step 3: Cross multiply
    1,956,045x = 4,201,320 × 4,201,320
  4. Step 4: Simplify right side
    1,956,045x = 17,651,089,742,400
  5. Step 5: Solve for x
    x = 17,651,089,742,400/1,956,045
  6. Step 6: Final answer
    x = 9,023,866.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.