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Finding the Third Proportional to 3,160,407.75 and 4,731,954.75

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Solution

The third proportional to 3,160,407.75 and 4,731,954.75 is: 7,084,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160,407.75 : 4,731,954.75 = 4,731,954.75 : x
  2. Step 2: Convert to fraction form
    3,160,407.75/4,731,954.75 = 4,731,954.75/x
  3. Step 3: Cross multiply
    3,160,407.75x = 4,731,954.75 × 4,731,954.75
  4. Step 4: Simplify right side
    3,160,407.75x = 22,391,395,756,047.56
  5. Step 5: Solve for x
    x = 22,391,395,756,047.56/3,160,407.75
  6. Step 6: Final answer
    x = 7,084,970.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.