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Finding the Third Proportional to 705,771 and 1,502,532

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Solution

The third proportional to 705,771 and 1,502,532 is: 3,198,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,771 : 1,502,532 = 1,502,532 : x
  2. Step 2: Convert to fraction form
    705,771/1,502,532 = 1,502,532/x
  3. Step 3: Cross multiply
    705,771x = 1,502,532 × 1,502,532
  4. Step 4: Simplify right side
    705,771x = 2,257,602,411,024
  5. Step 5: Solve for x
    x = 2,257,602,411,024/705,771
  6. Step 6: Final answer
    x = 3,198,774.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.