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Finding the Third Proportional to 705,768 and 1,502,526

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Solution

The third proportional to 705,768 and 1,502,526 is: 3,198,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,768 : 1,502,526 = 1,502,526 : x
  2. Step 2: Convert to fraction form
    705,768/1,502,526 = 1,502,526/x
  3. Step 3: Cross multiply
    705,768x = 1,502,526 × 1,502,526
  4. Step 4: Simplify right side
    705,768x = 2,257,584,380,676
  5. Step 5: Solve for x
    x = 2,257,584,380,676/705,768
  6. Step 6: Final answer
    x = 3,198,762.74

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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.