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Finding the Third Proportional to 2,010,724 and 4,254,152

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Solution

The third proportional to 2,010,724 and 4,254,152 is: 9,000,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010,724 : 4,254,152 = 4,254,152 : x
  2. Step 2: Convert to fraction form
    2,010,724/4,254,152 = 4,254,152/x
  3. Step 3: Cross multiply
    2,010,724x = 4,254,152 × 4,254,152
  4. Step 4: Simplify right side
    2,010,724x = 18,097,809,239,104
  5. Step 5: Solve for x
    x = 18,097,809,239,104/2,010,724
  6. Step 6: Final answer
    x = 9,000,643.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.