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Finding the Third Proportional to 1,638,430 and 3,564,450

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Solution

The third proportional to 1,638,430 and 3,564,450 is: 7,754,560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,430 : 3,564,450 = 3,564,450 : x
  2. Step 2: Convert to fraction form
    1,638,430/3,564,450 = 3,564,450/x
  3. Step 3: Cross multiply
    1,638,430x = 3,564,450 × 3,564,450
  4. Step 4: Simplify right side
    1,638,430x = 12,705,303,802,500
  5. Step 5: Solve for x
    x = 12,705,303,802,500/1,638,430
  6. Step 6: Final answer
    x = 7,754,560.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.