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Finding the Third Proportional to 1,638,328 and 3,591,585

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Solution

The third proportional to 1,638,328 and 3,591,585 is: 7,873,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,328 : 3,591,585 = 3,591,585 : x
  2. Step 2: Convert to fraction form
    1,638,328/3,591,585 = 3,591,585/x
  3. Step 3: Cross multiply
    1,638,328x = 3,591,585 × 3,591,585
  4. Step 4: Simplify right side
    1,638,328x = 12,899,482,812,225
  5. Step 5: Solve for x
    x = 12,899,482,812,225/1,638,328
  6. Step 6: Final answer
    x = 7,873,565.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.