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Finding the Third Proportional to 745,535.81 and 1,608,823.69

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Solution

The third proportional to 745,535.81 and 1,608,823.69 is: 3,471,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,535.81 : 1,608,823.69 = 1,608,823.69 : x
  2. Step 2: Convert to fraction form
    745,535.81/1,608,823.69 = 1,608,823.69/x
  3. Step 3: Cross multiply
    745,535.81x = 1,608,823.69 × 1,608,823.69
  4. Step 4: Simplify right side
    745,535.81x = 2,588,313,657,461.10
  5. Step 5: Solve for x
    x = 2,588,313,657,461.10/745,535.81
  6. Step 6: Final answer
    x = 3,471,749.60

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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.