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Finding the Third Proportional to 1,051,088.50 and 2,305,649

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Solution

The third proportional to 1,051,088.50 and 2,305,649 is: 5,057,630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,088.50 : 2,305,649 = 2,305,649 : x
  2. Step 2: Convert to fraction form
    1,051,088.50/2,305,649 = 2,305,649/x
  3. Step 3: Cross multiply
    1,051,088.50x = 2,305,649 × 2,305,649
  4. Step 4: Simplify right side
    1,051,088.50x = 5,316,017,311,201
  5. Step 5: Solve for x
    x = 5,316,017,311,201/1,051,088.50
  6. Step 6: Final answer
    x = 5,057,630.55

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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.