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Finding the Third Proportional to 567,748 and 1,236,296

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Solution

The third proportional to 567,748 and 1,236,296 is: 2,692,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,748 : 1,236,296 = 1,236,296 : x
  2. Step 2: Convert to fraction form
    567,748/1,236,296 = 1,236,296/x
  3. Step 3: Cross multiply
    567,748x = 1,236,296 × 1,236,296
  4. Step 4: Simplify right side
    567,748x = 1,528,427,799,616
  5. Step 5: Solve for x
    x = 1,528,427,799,616/567,748
  6. Step 6: Final answer
    x = 2,692,088.39

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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.