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Finding the Third Proportional to 1,619,280 and 2,376,427.50

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Solution

The third proportional to 1,619,280 and 2,376,427.50 is: 3,487,604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,280 : 2,376,427.50 = 2,376,427.50 : x
  2. Step 2: Convert to fraction form
    1,619,280/2,376,427.50 = 2,376,427.50/x
  3. Step 3: Cross multiply
    1,619,280x = 2,376,427.50 × 2,376,427.50
  4. Step 4: Simplify right side
    1,619,280x = 5,647,407,662,756.25
  5. Step 5: Solve for x
    x = 5,647,407,662,756.25/1,619,280
  6. Step 6: Final answer
    x = 3,487,604.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.