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Finding the Third Proportional to 1,466,044 and 3,053,431

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Solution

The third proportional to 1,466,044 and 3,053,431 is: 6,359,591.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466,044 : 3,053,431 = 3,053,431 : x
  2. Step 2: Convert to fraction form
    1,466,044/3,053,431 = 3,053,431/x
  3. Step 3: Cross multiply
    1,466,044x = 3,053,431 × 3,053,431
  4. Step 4: Simplify right side
    1,466,044x = 9,323,440,871,761
  5. Step 5: Solve for x
    x = 9,323,440,871,761/1,466,044
  6. Step 6: Final answer
    x = 6,359,591.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.