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Finding the Third Proportional to 560,413 and 1,216,086

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Solution

The third proportional to 560,413 and 1,216,086 is: 2,638,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,413 : 1,216,086 = 1,216,086 : x
  2. Step 2: Convert to fraction form
    560,413/1,216,086 = 1,216,086/x
  3. Step 3: Cross multiply
    560,413x = 1,216,086 × 1,216,086
  4. Step 4: Simplify right side
    560,413x = 1,478,865,159,396
  5. Step 5: Solve for x
    x = 1,478,865,159,396/560,413
  6. Step 6: Final answer
    x = 2,638,884.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.