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Finding the Third Proportional to 2,285,613 and 4,977,594

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Solution

The third proportional to 2,285,613 and 4,977,594 is: 10,840,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285,613 : 4,977,594 = 4,977,594 : x
  2. Step 2: Convert to fraction form
    2,285,613/4,977,594 = 4,977,594/x
  3. Step 3: Cross multiply
    2,285,613x = 4,977,594 × 4,977,594
  4. Step 4: Simplify right side
    2,285,613x = 24,776,442,028,836
  5. Step 5: Solve for x
    x = 24,776,442,028,836/2,285,613
  6. Step 6: Final answer
    x = 10,840,173.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.