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Finding the Third Proportional to 2,133,582 and 4,665,498

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Solution

The third proportional to 2,133,582 and 4,665,498 is: 10,202,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133,582 : 4,665,498 = 4,665,498 : x
  2. Step 2: Convert to fraction form
    2,133,582/4,665,498 = 4,665,498/x
  3. Step 3: Cross multiply
    2,133,582x = 4,665,498 × 4,665,498
  4. Step 4: Simplify right side
    2,133,582x = 21,766,871,588,004
  5. Step 5: Solve for x
    x = 21,766,871,588,004/2,133,582
  6. Step 6: Final answer
    x = 10,202,031.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.