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Finding the Third Proportional to 1,616,219.16 and 2,419,877.53

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Solution

The third proportional to 1,616,219.16 and 2,419,877.53 is: 3,623,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616,219.16 : 2,419,877.53 = 2,419,877.53 : x
  2. Step 2: Convert to fraction form
    1,616,219.16/2,419,877.53 = 2,419,877.53/x
  3. Step 3: Cross multiply
    1,616,219.16x = 2,419,877.53 × 2,419,877.53
  4. Step 4: Simplify right side
    1,616,219.16x = 5,855,807,266,248.60
  5. Step 5: Solve for x
    x = 5,855,807,266,248.60/1,616,219.16
  6. Step 6: Final answer
    x = 3,623,151.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.