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Finding the Third Proportional to 1,004,656 and 1,408,024

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Solution

The third proportional to 1,004,656 and 1,408,024 is: 1,973,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,656 : 1,408,024 = 1,408,024 : x
  2. Step 2: Convert to fraction form
    1,004,656/1,408,024 = 1,408,024/x
  3. Step 3: Cross multiply
    1,004,656x = 1,408,024 × 1,408,024
  4. Step 4: Simplify right side
    1,004,656x = 1,982,531,584,576
  5. Step 5: Solve for x
    x = 1,982,531,584,576/1,004,656
  6. Step 6: Final answer
    x = 1,973,343.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.