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Finding the Third Proportional to 3,023,750 and 4,549,289

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Solution

The third proportional to 3,023,750 and 4,549,289 is: 6,844,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,750 : 4,549,289 = 4,549,289 : x
  2. Step 2: Convert to fraction form
    3,023,750/4,549,289 = 4,549,289/x
  3. Step 3: Cross multiply
    3,023,750x = 4,549,289 × 4,549,289
  4. Step 4: Simplify right side
    3,023,750x = 20,696,030,405,521
  5. Step 5: Solve for x
    x = 20,696,030,405,521/3,023,750
  6. Step 6: Final answer
    x = 6,844,491.25

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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.