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Finding the Third Proportional to 1,987,452 and 4,289,827.50

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Solution

The third proportional to 1,987,452 and 4,289,827.50 is: 9,259,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987,452 : 4,289,827.50 = 4,289,827.50 : x
  2. Step 2: Convert to fraction form
    1,987,452/4,289,827.50 = 4,289,827.50/x
  3. Step 3: Cross multiply
    1,987,452x = 4,289,827.50 × 4,289,827.50
  4. Step 4: Simplify right side
    1,987,452x = 18,402,619,979,756.25
  5. Step 5: Solve for x
    x = 18,402,619,979,756.25/1,987,452
  6. Step 6: Final answer
    x = 9,259,403.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.