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Finding the Third Proportional to 648,475.88 and 1,035,954.56

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Solution

The third proportional to 648,475.88 and 1,035,954.56 is: 1,654,960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,475.88 : 1,035,954.56 = 1,035,954.56 : x
  2. Step 2: Convert to fraction form
    648,475.88/1,035,954.56 = 1,035,954.56/x
  3. Step 3: Cross multiply
    648,475.88x = 1,035,954.56 × 1,035,954.56
  4. Step 4: Simplify right side
    648,475.88x = 1,073,201,855,564.57
  5. Step 5: Solve for x
    x = 1,073,201,855,564.57/648,475.88
  6. Step 6: Final answer
    x = 1,654,960.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.