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Finding the Third Proportional to 1,035,173 and 1,580,408

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Solution

The third proportional to 1,035,173 and 1,580,408 is: 2,412,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,173 : 1,580,408 = 1,580,408 : x
  2. Step 2: Convert to fraction form
    1,035,173/1,580,408 = 1,580,408/x
  3. Step 3: Cross multiply
    1,035,173x = 1,580,408 × 1,580,408
  4. Step 4: Simplify right side
    1,035,173x = 2,497,689,446,464
  5. Step 5: Solve for x
    x = 2,497,689,446,464/1,035,173
  6. Step 6: Final answer
    x = 2,412,823.22

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.