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Finding the Third Proportional to 4,523,078 and 6,994,587

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Solution

The third proportional to 4,523,078 and 6,994,587 is: 10,816,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523,078 : 6,994,587 = 6,994,587 : x
  2. Step 2: Convert to fraction form
    4,523,078/6,994,587 = 6,994,587/x
  3. Step 3: Cross multiply
    4,523,078x = 6,994,587 × 6,994,587
  4. Step 4: Simplify right side
    4,523,078x = 48,924,247,300,569
  5. Step 5: Solve for x
    x = 48,924,247,300,569/4,523,078
  6. Step 6: Final answer
    x = 10,816,582.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.