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Finding the Third Proportional to 790,947 and 1,706,310

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Solution

The third proportional to 790,947 and 1,706,310 is: 3,681,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,947 : 1,706,310 = 1,706,310 : x
  2. Step 2: Convert to fraction form
    790,947/1,706,310 = 1,706,310/x
  3. Step 3: Cross multiply
    790,947x = 1,706,310 × 1,706,310
  4. Step 4: Simplify right side
    790,947x = 2,911,493,816,100
  5. Step 5: Solve for x
    x = 2,911,493,816,100/790,947
  6. Step 6: Final answer
    x = 3,681,022.64

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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.