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Finding the Third Proportional to 2,169,966 and 4,666,545

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Solution

The third proportional to 2,169,966 and 4,666,545 is: 10,035,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169,966 : 4,666,545 = 4,666,545 : x
  2. Step 2: Convert to fraction form
    2,169,966/4,666,545 = 4,666,545/x
  3. Step 3: Cross multiply
    2,169,966x = 4,666,545 × 4,666,545
  4. Step 4: Simplify right side
    2,169,966x = 21,776,642,237,025
  5. Step 5: Solve for x
    x = 21,776,642,237,025/2,169,966
  6. Step 6: Final answer
    x = 10,035,476.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.