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Finding the Third Proportional to 2,547,584 and 3,786,793

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Solution

The third proportional to 2,547,584 and 3,786,793 is: 5,628,784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547,584 : 3,786,793 = 3,786,793 : x
  2. Step 2: Convert to fraction form
    2,547,584/3,786,793 = 3,786,793/x
  3. Step 3: Cross multiply
    2,547,584x = 3,786,793 × 3,786,793
  4. Step 4: Simplify right side
    2,547,584x = 14,339,801,224,849
  5. Step 5: Solve for x
    x = 14,339,801,224,849/2,547,584
  6. Step 6: Final answer
    x = 5,628,784.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.