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Finding the Third Proportional to 1,428,408 and 2,975,172

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Solution

The third proportional to 1,428,408 and 2,975,172 is: 6,196,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,408 : 2,975,172 = 2,975,172 : x
  2. Step 2: Convert to fraction form
    1,428,408/2,975,172 = 2,975,172/x
  3. Step 3: Cross multiply
    1,428,408x = 2,975,172 × 2,975,172
  4. Step 4: Simplify right side
    1,428,408x = 8,851,648,429,584
  5. Step 5: Solve for x
    x = 8,851,648,429,584/1,428,408
  6. Step 6: Final answer
    x = 6,196,862.82

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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.