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Finding the Third Proportional to 563,250 and 1,214,982

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Solution

The third proportional to 563,250 and 1,214,982 is: 2,620,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,250 : 1,214,982 = 1,214,982 : x
  2. Step 2: Convert to fraction form
    563,250/1,214,982 = 1,214,982/x
  3. Step 3: Cross multiply
    563,250x = 1,214,982 × 1,214,982
  4. Step 4: Simplify right side
    563,250x = 1,476,181,260,324
  5. Step 5: Solve for x
    x = 1,476,181,260,324/563,250
  6. Step 6: Final answer
    x = 2,620,827.80

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Why These Related Problems?

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