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Finding the Third Proportional to 1,418,353.50 and 2,153,794.50

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Solution

The third proportional to 1,418,353.50 and 2,153,794.50 is: 3,270,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418,353.50 : 2,153,794.50 = 2,153,794.50 : x
  2. Step 2: Convert to fraction form
    1,418,353.50/2,153,794.50 = 2,153,794.50/x
  3. Step 3: Cross multiply
    1,418,353.50x = 2,153,794.50 × 2,153,794.50
  4. Step 4: Simplify right side
    1,418,353.50x = 4,638,830,748,230.25
  5. Step 5: Solve for x
    x = 4,638,830,748,230.25/1,418,353.50
  6. Step 6: Final answer
    x = 3,270,574.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.