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Finding the Third Proportional to 705,257 and 1,074,411

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Solution

The third proportional to 705,257 and 1,074,411 is: 1,636,791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,257 : 1,074,411 = 1,074,411 : x
  2. Step 2: Convert to fraction form
    705,257/1,074,411 = 1,074,411/x
  3. Step 3: Cross multiply
    705,257x = 1,074,411 × 1,074,411
  4. Step 4: Simplify right side
    705,257x = 1,154,358,996,921
  5. Step 5: Solve for x
    x = 1,154,358,996,921/705,257
  6. Step 6: Final answer
    x = 1,636,791.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.