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Finding the Third Proportional to 567,324 and 1,210,896

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Solution

The third proportional to 567,324 and 1,210,896 is: 2,584,535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,324 : 1,210,896 = 1,210,896 : x
  2. Step 2: Convert to fraction form
    567,324/1,210,896 = 1,210,896/x
  3. Step 3: Cross multiply
    567,324x = 1,210,896 × 1,210,896
  4. Step 4: Simplify right side
    567,324x = 1,466,269,122,816
  5. Step 5: Solve for x
    x = 1,466,269,122,816/567,324
  6. Step 6: Final answer
    x = 2,584,535.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.