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Finding the Third Proportional to 559,656 and 1,224,288

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Solution

The third proportional to 559,656 and 1,224,288 is: 2,678,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,656 : 1,224,288 = 1,224,288 : x
  2. Step 2: Convert to fraction form
    559,656/1,224,288 = 1,224,288/x
  3. Step 3: Cross multiply
    559,656x = 1,224,288 × 1,224,288
  4. Step 4: Simplify right side
    559,656x = 1,498,881,106,944
  5. Step 5: Solve for x
    x = 1,498,881,106,944/559,656
  6. Step 6: Final answer
    x = 2,678,218.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.