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Finding the Third Proportional to 1,038,584 and 2,159,724

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Solution

The third proportional to 1,038,584 and 2,159,724 is: 4,491,122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038,584 : 2,159,724 = 2,159,724 : x
  2. Step 2: Convert to fraction form
    1,038,584/2,159,724 = 2,159,724/x
  3. Step 3: Cross multiply
    1,038,584x = 2,159,724 × 2,159,724
  4. Step 4: Simplify right side
    1,038,584x = 4,664,407,756,176
  5. Step 5: Solve for x
    x = 4,664,407,756,176/1,038,584
  6. Step 6: Final answer
    x = 4,491,122.29

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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.