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Finding the Third Proportional to 2,956,784 and 6,355,276

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Solution

The third proportional to 2,956,784 and 6,355,276 is: 13,659,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956,784 : 6,355,276 = 6,355,276 : x
  2. Step 2: Convert to fraction form
    2,956,784/6,355,276 = 6,355,276/x
  3. Step 3: Cross multiply
    2,956,784x = 6,355,276 × 6,355,276
  4. Step 4: Simplify right side
    2,956,784x = 40,389,533,036,176
  5. Step 5: Solve for x
    x = 40,389,533,036,176/2,956,784
  6. Step 6: Final answer
    x = 13,659,953.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.