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Finding the Third Proportional to 409,629.66 and 891,065.81

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Solution

The third proportional to 409,629.66 and 891,065.81 is: 1,938,332.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,629.66 : 891,065.81 = 891,065.81 : x
  2. Step 2: Convert to fraction form
    409,629.66/891,065.81 = 891,065.81/x
  3. Step 3: Cross multiply
    409,629.66x = 891,065.81 × 891,065.81
  4. Step 4: Simplify right side
    409,629.66x = 793,998,282,206.29
  5. Step 5: Solve for x
    x = 793,998,282,206.29/409,629.66
  6. Step 6: Final answer
    x = 1,938,332.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.