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Finding the Third Proportional to 2,154,908 and 4,688,158

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Solution

The third proportional to 2,154,908 and 4,688,158 is: 10,199,426.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154,908 : 4,688,158 = 4,688,158 : x
  2. Step 2: Convert to fraction form
    2,154,908/4,688,158 = 4,688,158/x
  3. Step 3: Cross multiply
    2,154,908x = 4,688,158 × 4,688,158
  4. Step 4: Simplify right side
    2,154,908x = 21,978,825,432,964
  5. Step 5: Solve for x
    x = 21,978,825,432,964/2,154,908
  6. Step 6: Final answer
    x = 10,199,426.35

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