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Finding the Third Proportional to 514,056 and 1,111,344

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Solution

The third proportional to 514,056 and 1,111,344 is: 2,402,628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,056 : 1,111,344 = 1,111,344 : x
  2. Step 2: Convert to fraction form
    514,056/1,111,344 = 1,111,344/x
  3. Step 3: Cross multiply
    514,056x = 1,111,344 × 1,111,344
  4. Step 4: Simplify right side
    514,056x = 1,235,085,486,336
  5. Step 5: Solve for x
    x = 1,235,085,486,336/514,056
  6. Step 6: Final answer
    x = 2,402,628.29

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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.