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Finding the Third Proportional to 2,653,124 and 5,684,776

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Solution

The third proportional to 2,653,124 and 5,684,776 is: 12,180,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653,124 : 5,684,776 = 5,684,776 : x
  2. Step 2: Convert to fraction form
    2,653,124/5,684,776 = 5,684,776/x
  3. Step 3: Cross multiply
    2,653,124x = 5,684,776 × 5,684,776
  4. Step 4: Simplify right side
    2,653,124x = 32,316,678,170,176
  5. Step 5: Solve for x
    x = 32,316,678,170,176/2,653,124
  6. Step 6: Final answer
    x = 12,180,613.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.