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Finding the Third Proportional to 566,496 and 1,232,896

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Solution

The third proportional to 566,496 and 1,232,896 is: 2,683,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,496 : 1,232,896 = 1,232,896 : x
  2. Step 2: Convert to fraction form
    566,496/1,232,896 = 1,232,896/x
  3. Step 3: Cross multiply
    566,496x = 1,232,896 × 1,232,896
  4. Step 4: Simplify right side
    566,496x = 1,520,032,546,816
  5. Step 5: Solve for x
    x = 1,520,032,546,816/566,496
  6. Step 6: Final answer
    x = 2,683,218.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.