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Finding the Third Proportional to 486,694 and 1,045,373

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Solution

The third proportional to 486,694 and 1,045,373 is: 2,245,363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,694 : 1,045,373 = 1,045,373 : x
  2. Step 2: Convert to fraction form
    486,694/1,045,373 = 1,045,373/x
  3. Step 3: Cross multiply
    486,694x = 1,045,373 × 1,045,373
  4. Step 4: Simplify right side
    486,694x = 1,092,804,709,129
  5. Step 5: Solve for x
    x = 1,092,804,709,129/486,694
  6. Step 6: Final answer
    x = 2,245,363.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.