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Finding the Third Proportional to 566,256 and 1,221,072

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Solution

The third proportional to 566,256 and 1,221,072 is: 2,633,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,256 : 1,221,072 = 1,221,072 : x
  2. Step 2: Convert to fraction form
    566,256/1,221,072 = 1,221,072/x
  3. Step 3: Cross multiply
    566,256x = 1,221,072 × 1,221,072
  4. Step 4: Simplify right side
    566,256x = 1,491,016,829,184
  5. Step 5: Solve for x
    x = 1,491,016,829,184/566,256
  6. Step 6: Final answer
    x = 2,633,114.40

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