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Finding the Third Proportional to 1,535,583 and 2,408,658

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Solution

The third proportional to 1,535,583 and 2,408,658 is: 3,778,130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,583 : 2,408,658 = 2,408,658 : x
  2. Step 2: Convert to fraction form
    1,535,583/2,408,658 = 2,408,658/x
  3. Step 3: Cross multiply
    1,535,583x = 2,408,658 × 2,408,658
  4. Step 4: Simplify right side
    1,535,583x = 5,801,633,360,964
  5. Step 5: Solve for x
    x = 5,801,633,360,964/1,535,583
  6. Step 6: Final answer
    x = 3,778,130.76

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.