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Finding the Third Proportional to 1,284,528 and 2,974,584

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Solution

The third proportional to 1,284,528 and 2,974,584 is: 6,888,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,528 : 2,974,584 = 2,974,584 : x
  2. Step 2: Convert to fraction form
    1,284,528/2,974,584 = 2,974,584/x
  3. Step 3: Cross multiply
    1,284,528x = 2,974,584 × 2,974,584
  4. Step 4: Simplify right side
    1,284,528x = 8,848,149,973,056
  5. Step 5: Solve for x
    x = 8,848,149,973,056/1,284,528
  6. Step 6: Final answer
    x = 6,888,249.98

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.