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Finding the Third Proportional to 789,719.63 and 1,154,963.81

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Solution

The third proportional to 789,719.63 and 1,154,963.81 is: 1,689,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,719.63 : 1,154,963.81 = 1,154,963.81 : x
  2. Step 2: Convert to fraction form
    789,719.63/1,154,963.81 = 1,154,963.81/x
  3. Step 3: Cross multiply
    789,719.63x = 1,154,963.81 × 1,154,963.81
  4. Step 4: Simplify right side
    789,719.63x = 1,333,941,408,184.54
  5. Step 5: Solve for x
    x = 1,333,941,408,184.54/789,719.63
  6. Step 6: Final answer
    x = 1,689,132.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.