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Finding the Third Proportional to 623,193.75 and 1,377,172.13

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Solution

The third proportional to 623,193.75 and 1,377,172.13 is: 3,043,360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,193.75 : 1,377,172.13 = 1,377,172.13 : x
  2. Step 2: Convert to fraction form
    623,193.75/1,377,172.13 = 1,377,172.13/x
  3. Step 3: Cross multiply
    623,193.75x = 1,377,172.13 × 1,377,172.13
  4. Step 4: Simplify right side
    623,193.75x = 1,896,603,061,877.02
  5. Step 5: Solve for x
    x = 1,896,603,061,877.02/623,193.75
  6. Step 6: Final answer
    x = 3,043,360.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.