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Finding the Third Proportional to 745,706.25 and 1,166,535

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Solution

The third proportional to 745,706.25 and 1,166,535 is: 1,824,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,706.25 : 1,166,535 = 1,166,535 : x
  2. Step 2: Convert to fraction form
    745,706.25/1,166,535 = 1,166,535/x
  3. Step 3: Cross multiply
    745,706.25x = 1,166,535 × 1,166,535
  4. Step 4: Simplify right side
    745,706.25x = 1,360,803,906,225
  5. Step 5: Solve for x
    x = 1,360,803,906,225/745,706.25
  6. Step 6: Final answer
    x = 1,824,852.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.