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Finding the Third Proportional to 4,330,458 and 6,054,271

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Solution

The third proportional to 4,330,458 and 6,054,271 is: 8,464,277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330,458 : 6,054,271 = 6,054,271 : x
  2. Step 2: Convert to fraction form
    4,330,458/6,054,271 = 6,054,271/x
  3. Step 3: Cross multiply
    4,330,458x = 6,054,271 × 6,054,271
  4. Step 4: Simplify right side
    4,330,458x = 36,654,197,341,441
  5. Step 5: Solve for x
    x = 36,654,197,341,441/4,330,458
  6. Step 6: Final answer
    x = 8,464,277.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.