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Finding the Third Proportional to 780,225 and 1,703,334

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Solution

The third proportional to 780,225 and 1,703,334 is: 3,718,602.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,225 : 1,703,334 = 1,703,334 : x
  2. Step 2: Convert to fraction form
    780,225/1,703,334 = 1,703,334/x
  3. Step 3: Cross multiply
    780,225x = 1,703,334 × 1,703,334
  4. Step 4: Simplify right side
    780,225x = 2,901,346,715,556
  5. Step 5: Solve for x
    x = 2,901,346,715,556/780,225
  6. Step 6: Final answer
    x = 3,718,602.60

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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.