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Finding the Third Proportional to 1,213,805.25 and 2,656,192.50

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Solution

The third proportional to 1,213,805.25 and 2,656,192.50 is: 5,812,595.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,805.25 : 2,656,192.50 = 2,656,192.50 : x
  2. Step 2: Convert to fraction form
    1,213,805.25/2,656,192.50 = 2,656,192.50/x
  3. Step 3: Cross multiply
    1,213,805.25x = 2,656,192.50 × 2,656,192.50
  4. Step 4: Simplify right side
    1,213,805.25x = 7,055,358,597,056.25
  5. Step 5: Solve for x
    x = 7,055,358,597,056.25/1,213,805.25
  6. Step 6: Final answer
    x = 5,812,595.22

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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.