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Finding the Third Proportional to 1,500,854.06 and 3,281,963.06

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Solution

The third proportional to 1,500,854.06 and 3,281,963.06 is: 7,176,768.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500,854.06 : 3,281,963.06 = 3,281,963.06 : x
  2. Step 2: Convert to fraction form
    1,500,854.06/3,281,963.06 = 3,281,963.06/x
  3. Step 3: Cross multiply
    1,500,854.06x = 3,281,963.06 × 3,281,963.06
  4. Step 4: Simplify right side
    1,500,854.06x = 10,771,281,543,614.38
  5. Step 5: Solve for x
    x = 10,771,281,543,614.38/1,500,854.06
  6. Step 6: Final answer
    x = 7,176,768.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.