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Finding the Third Proportional to 1,527,693.75 and 3,180,866.63

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Solution

The third proportional to 1,527,693.75 and 3,180,866.63 is: 6,622,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,693.75 : 3,180,866.63 = 3,180,866.63 : x
  2. Step 2: Convert to fraction form
    1,527,693.75/3,180,866.63 = 3,180,866.63/x
  3. Step 3: Cross multiply
    1,527,693.75x = 3,180,866.63 × 3,180,866.63
  4. Step 4: Simplify right side
    1,527,693.75x = 10,117,912,486,038.89
  5. Step 5: Solve for x
    x = 10,117,912,486,038.89/1,527,693.75
  6. Step 6: Final answer
    x = 6,622,997.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.