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Finding the Third Proportional to 1,832,475 and 2,796,097.50

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Solution

The third proportional to 1,832,475 and 2,796,097.50 is: 4,266,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832,475 : 2,796,097.50 = 2,796,097.50 : x
  2. Step 2: Convert to fraction form
    1,832,475/2,796,097.50 = 2,796,097.50/x
  3. Step 3: Cross multiply
    1,832,475x = 2,796,097.50 × 2,796,097.50
  4. Step 4: Simplify right side
    1,832,475x = 7,818,161,229,506.25
  5. Step 5: Solve for x
    x = 7,818,161,229,506.25/1,832,475
  6. Step 6: Final answer
    x = 4,266,449.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.