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Finding the Third Proportional to 558,043 and 1,208,804

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Solution

The third proportional to 558,043 and 1,208,804 is: 2,618,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,043 : 1,208,804 = 1,208,804 : x
  2. Step 2: Convert to fraction form
    558,043/1,208,804 = 1,208,804/x
  3. Step 3: Cross multiply
    558,043x = 1,208,804 × 1,208,804
  4. Step 4: Simplify right side
    558,043x = 1,461,207,110,416
  5. Step 5: Solve for x
    x = 1,461,207,110,416/558,043
  6. Step 6: Final answer
    x = 2,618,448.96

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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.