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Finding the Third Proportional to 514,062 and 1,111,356

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Solution

The third proportional to 514,062 and 1,111,356 is: 2,402,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,062 : 1,111,356 = 1,111,356 : x
  2. Step 2: Convert to fraction form
    514,062/1,111,356 = 1,111,356/x
  3. Step 3: Cross multiply
    514,062x = 1,111,356 × 1,111,356
  4. Step 4: Simplify right side
    514,062x = 1,235,112,158,736
  5. Step 5: Solve for x
    x = 1,235,112,158,736/514,062
  6. Step 6: Final answer
    x = 2,402,652.13

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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.