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Finding the Third Proportional to 1,575,732 and 3,457,824

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Solution

The third proportional to 1,575,732 and 3,457,824 is: 7,587,931.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575,732 : 3,457,824 = 3,457,824 : x
  2. Step 2: Convert to fraction form
    1,575,732/3,457,824 = 3,457,824/x
  3. Step 3: Cross multiply
    1,575,732x = 3,457,824 × 3,457,824
  4. Step 4: Simplify right side
    1,575,732x = 11,956,546,814,976
  5. Step 5: Solve for x
    x = 11,956,546,814,976/1,575,732
  6. Step 6: Final answer
    x = 7,587,931.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.