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Finding the Third Proportional to 745,136 and 1,180,408

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Solution

The third proportional to 745,136 and 1,180,408 is: 1,869,944.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,136 : 1,180,408 = 1,180,408 : x
  2. Step 2: Convert to fraction form
    745,136/1,180,408 = 1,180,408/x
  3. Step 3: Cross multiply
    745,136x = 1,180,408 × 1,180,408
  4. Step 4: Simplify right side
    745,136x = 1,393,363,046,464
  5. Step 5: Solve for x
    x = 1,393,363,046,464/745,136
  6. Step 6: Final answer
    x = 1,869,944.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.