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Finding the Third Proportional to 729,025 and 1,569,807

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Solution

The third proportional to 729,025 and 1,569,807 is: 3,380,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,025 : 1,569,807 = 1,569,807 : x
  2. Step 2: Convert to fraction form
    729,025/1,569,807 = 1,569,807/x
  3. Step 3: Cross multiply
    729,025x = 1,569,807 × 1,569,807
  4. Step 4: Simplify right side
    729,025x = 2,464,294,017,249
  5. Step 5: Solve for x
    x = 2,464,294,017,249/729,025
  6. Step 6: Final answer
    x = 3,380,259.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.