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Finding the Third Proportional to 566,886 and 1,233,412.50

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Solution

The third proportional to 566,886 and 1,233,412.50 is: 2,683,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,886 : 1,233,412.50 = 1,233,412.50 : x
  2. Step 2: Convert to fraction form
    566,886/1,233,412.50 = 1,233,412.50/x
  3. Step 3: Cross multiply
    566,886x = 1,233,412.50 × 1,233,412.50
  4. Step 4: Simplify right side
    566,886x = 1,521,306,395,156.25
  5. Step 5: Solve for x
    x = 1,521,306,395,156.25/566,886
  6. Step 6: Final answer
    x = 2,683,619.63

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