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Finding the Third Proportional to 558,864 and 1,207,008

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Solution

The third proportional to 558,864 and 1,207,008 is: 2,606,838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,864 : 1,207,008 = 1,207,008 : x
  2. Step 2: Convert to fraction form
    558,864/1,207,008 = 1,207,008/x
  3. Step 3: Cross multiply
    558,864x = 1,207,008 × 1,207,008
  4. Step 4: Simplify right side
    558,864x = 1,456,868,312,064
  5. Step 5: Solve for x
    x = 1,456,868,312,064/558,864
  6. Step 6: Final answer
    x = 2,606,838.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.