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Finding the Third Proportional to 566,220 and 1,226,904

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Solution

The third proportional to 566,220 and 1,226,904 is: 2,658,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,220 : 1,226,904 = 1,226,904 : x
  2. Step 2: Convert to fraction form
    566,220/1,226,904 = 1,226,904/x
  3. Step 3: Cross multiply
    566,220x = 1,226,904 × 1,226,904
  4. Step 4: Simplify right side
    566,220x = 1,505,293,425,216
  5. Step 5: Solve for x
    x = 1,505,293,425,216/566,220
  6. Step 6: Final answer
    x = 2,658,495.68

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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.