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Finding the Third Proportional to 1,567,728 and 2,291,100

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Solution

The third proportional to 1,567,728 and 2,291,100 is: 3,348,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567,728 : 2,291,100 = 2,291,100 : x
  2. Step 2: Convert to fraction form
    1,567,728/2,291,100 = 2,291,100/x
  3. Step 3: Cross multiply
    1,567,728x = 2,291,100 × 2,291,100
  4. Step 4: Simplify right side
    1,567,728x = 5,249,139,210,000
  5. Step 5: Solve for x
    x = 5,249,139,210,000/1,567,728
  6. Step 6: Final answer
    x = 3,348,246.13

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.