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Finding the Third Proportional to 1,314,157.50 and 2,824,659

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Solution

The third proportional to 1,314,157.50 and 2,824,659 is: 6,071,341.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,157.50 : 2,824,659 = 2,824,659 : x
  2. Step 2: Convert to fraction form
    1,314,157.50/2,824,659 = 2,824,659/x
  3. Step 3: Cross multiply
    1,314,157.50x = 2,824,659 × 2,824,659
  4. Step 4: Simplify right side
    1,314,157.50x = 7,978,698,466,281
  5. Step 5: Solve for x
    x = 7,978,698,466,281/1,314,157.50
  6. Step 6: Final answer
    x = 6,071,341.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.