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Finding the Third Proportional to 557,829 and 1,208,358

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Solution

The third proportional to 557,829 and 1,208,358 is: 2,617,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,829 : 1,208,358 = 1,208,358 : x
  2. Step 2: Convert to fraction form
    557,829/1,208,358 = 1,208,358/x
  3. Step 3: Cross multiply
    557,829x = 1,208,358 × 1,208,358
  4. Step 4: Simplify right side
    557,829x = 1,460,129,056,164
  5. Step 5: Solve for x
    x = 1,460,129,056,164/557,829
  6. Step 6: Final answer
    x = 2,617,520.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.