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Finding the Third Proportional to 514,461 and 1,130,737.50

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Solution

The third proportional to 514,461 and 1,130,737.50 is: 2,485,256.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,461 : 1,130,737.50 = 1,130,737.50 : x
  2. Step 2: Convert to fraction form
    514,461/1,130,737.50 = 1,130,737.50/x
  3. Step 3: Cross multiply
    514,461x = 1,130,737.50 × 1,130,737.50
  4. Step 4: Simplify right side
    514,461x = 1,278,567,293,906.25
  5. Step 5: Solve for x
    x = 1,278,567,293,906.25/514,461
  6. Step 6: Final answer
    x = 2,485,256.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.