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Finding the Third Proportional to 847,202.50 and 1,832,065.50

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Solution

The third proportional to 847,202.50 and 1,832,065.50 is: 3,961,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,202.50 : 1,832,065.50 = 1,832,065.50 : x
  2. Step 2: Convert to fraction form
    847,202.50/1,832,065.50 = 1,832,065.50/x
  3. Step 3: Cross multiply
    847,202.50x = 1,832,065.50 × 1,832,065.50
  4. Step 4: Simplify right side
    847,202.50x = 3,356,463,996,290.25
  5. Step 5: Solve for x
    x = 3,356,463,996,290.25/847,202.50
  6. Step 6: Final answer
    x = 3,961,820.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.