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Finding the Third Proportional to 1,535,548 and 2,408,602

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Solution

The third proportional to 1,535,548 and 2,408,602 is: 3,778,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,548 : 2,408,602 = 2,408,602 : x
  2. Step 2: Convert to fraction form
    1,535,548/2,408,602 = 2,408,602/x
  3. Step 3: Cross multiply
    1,535,548x = 2,408,602 × 2,408,602
  4. Step 4: Simplify right side
    1,535,548x = 5,801,363,594,404
  5. Step 5: Solve for x
    x = 5,801,363,594,404/1,535,548
  6. Step 6: Final answer
    x = 3,778,041.19

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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.