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Finding the Third Proportional to 3,023,746 and 4,549,283

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Solution

The third proportional to 3,023,746 and 4,549,283 is: 6,844,482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,746 : 4,549,283 = 4,549,283 : x
  2. Step 2: Convert to fraction form
    3,023,746/4,549,283 = 4,549,283/x
  3. Step 3: Cross multiply
    3,023,746x = 4,549,283 × 4,549,283
  4. Step 4: Simplify right side
    3,023,746x = 20,695,975,814,089
  5. Step 5: Solve for x
    x = 20,695,975,814,089/3,023,746
  6. Step 6: Final answer
    x = 6,844,482.25

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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.