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Finding the Third Proportional to 1,206,802.55 and 2,605,024.55

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Solution

The third proportional to 1,206,802.55 and 2,605,024.55 is: 5,623,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,802.55 : 2,605,024.55 = 2,605,024.55 : x
  2. Step 2: Convert to fraction form
    1,206,802.55/2,605,024.55 = 2,605,024.55/x
  3. Step 3: Cross multiply
    1,206,802.55x = 2,605,024.55 × 2,605,024.55
  4. Step 4: Simplify right side
    1,206,802.55x = 6,786,152,889,821.30
  5. Step 5: Solve for x
    x = 6,786,152,889,821.30/1,206,802.55
  6. Step 6: Final answer
    x = 5,623,250.39

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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.