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Finding the Third Proportional to 2,164,023 and 4,704,210

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Solution

The third proportional to 2,164,023 and 4,704,210 is: 10,226,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164,023 : 4,704,210 = 4,704,210 : x
  2. Step 2: Convert to fraction form
    2,164,023/4,704,210 = 4,704,210/x
  3. Step 3: Cross multiply
    2,164,023x = 4,704,210 × 4,704,210
  4. Step 4: Simplify right side
    2,164,023x = 22,129,591,724,100
  5. Step 5: Solve for x
    x = 22,129,591,724,100/2,164,023
  6. Step 6: Final answer
    x = 10,226,135.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.