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Finding the Third Proportional to 1,466,322.75 and 3,153,304.69

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Solution

The third proportional to 1,466,322.75 and 3,153,304.69 is: 6,781,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466,322.75 : 3,153,304.69 = 3,153,304.69 : x
  2. Step 2: Convert to fraction form
    1,466,322.75/3,153,304.69 = 3,153,304.69/x
  3. Step 3: Cross multiply
    1,466,322.75x = 3,153,304.69 × 3,153,304.69
  4. Step 4: Simplify right side
    1,466,322.75x = 9,943,330,452,209.47
  5. Step 5: Solve for x
    x = 9,943,330,452,209.47/1,466,322.75
  6. Step 6: Final answer
    x = 6,781,133.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.