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Finding the Third Proportional to 790,257 and 1,706,868

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Solution

The third proportional to 790,257 and 1,706,868 is: 3,686,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,257 : 1,706,868 = 1,706,868 : x
  2. Step 2: Convert to fraction form
    790,257/1,706,868 = 1,706,868/x
  3. Step 3: Cross multiply
    790,257x = 1,706,868 × 1,706,868
  4. Step 4: Simplify right side
    790,257x = 2,913,398,369,424
  5. Step 5: Solve for x
    x = 2,913,398,369,424/790,257
  6. Step 6: Final answer
    x = 3,686,646.71

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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.