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Finding the Third Proportional to 1,105,665.19 and 1,621,744.03

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Solution

The third proportional to 1,105,665.19 and 1,621,744.03 is: 2,378,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,665.19 : 1,621,744.03 = 1,621,744.03 : x
  2. Step 2: Convert to fraction form
    1,105,665.19/1,621,744.03 = 1,621,744.03/x
  3. Step 3: Cross multiply
    1,105,665.19x = 1,621,744.03 × 1,621,744.03
  4. Step 4: Simplify right side
    1,105,665.19x = 2,630,053,702,895.00
  5. Step 5: Solve for x
    x = 2,630,053,702,895.00/1,105,665.19
  6. Step 6: Final answer
    x = 2,378,707.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.