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Finding the Third Proportional to 780,237 and 1,703,358

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Solution

The third proportional to 780,237 and 1,703,358 is: 3,718,650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,237 : 1,703,358 = 1,703,358 : x
  2. Step 2: Convert to fraction form
    780,237/1,703,358 = 1,703,358/x
  3. Step 3: Cross multiply
    780,237x = 1,703,358 × 1,703,358
  4. Step 4: Simplify right side
    780,237x = 2,901,428,476,164
  5. Step 5: Solve for x
    x = 2,901,428,476,164/780,237
  6. Step 6: Final answer
    x = 3,718,650.20

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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.