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Finding the Third Proportional to 668,776.50 and 1,442,043

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Solution

The third proportional to 668,776.50 and 1,442,043 is: 3,109,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,776.50 : 1,442,043 = 1,442,043 : x
  2. Step 2: Convert to fraction form
    668,776.50/1,442,043 = 1,442,043/x
  3. Step 3: Cross multiply
    668,776.50x = 1,442,043 × 1,442,043
  4. Step 4: Simplify right side
    668,776.50x = 2,079,488,013,849
  5. Step 5: Solve for x
    x = 2,079,488,013,849/668,776.50
  6. Step 6: Final answer
    x = 3,109,391.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.