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Finding the Third Proportional to 2,402,704 and 4,271,216

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Solution

The third proportional to 2,402,704 and 4,271,216 is: 7,592,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402,704 : 4,271,216 = 4,271,216 : x
  2. Step 2: Convert to fraction form
    2,402,704/4,271,216 = 4,271,216/x
  3. Step 3: Cross multiply
    2,402,704x = 4,271,216 × 4,271,216
  4. Step 4: Simplify right side
    2,402,704x = 18,243,286,118,656
  5. Step 5: Solve for x
    x = 18,243,286,118,656/2,402,704
  6. Step 6: Final answer
    x = 7,592,814.64

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.