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Finding the Third Proportional to 726,116 and 1,578,167.50

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Solution

The third proportional to 726,116 and 1,578,167.50 is: 3,430,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,116 : 1,578,167.50 = 1,578,167.50 : x
  2. Step 2: Convert to fraction form
    726,116/1,578,167.50 = 1,578,167.50/x
  3. Step 3: Cross multiply
    726,116x = 1,578,167.50 × 1,578,167.50
  4. Step 4: Simplify right side
    726,116x = 2,490,612,658,056.25
  5. Step 5: Solve for x
    x = 2,490,612,658,056.25/726,116
  6. Step 6: Final answer
    x = 3,430,047.90

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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.