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Finding the Third Proportional to 1,797,114.09 and 3,868,253.72

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Solution

The third proportional to 1,797,114.09 and 3,868,253.72 is: 8,326,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797,114.09 : 3,868,253.72 = 3,868,253.72 : x
  2. Step 2: Convert to fraction form
    1,797,114.09/3,868,253.72 = 3,868,253.72/x
  3. Step 3: Cross multiply
    1,797,114.09x = 3,868,253.72 × 3,868,253.72
  4. Step 4: Simplify right side
    1,797,114.09x = 14,963,386,832,623.20
  5. Step 5: Solve for x
    x = 14,963,386,832,623.20/1,797,114.09
  6. Step 6: Final answer
    x = 8,326,342.15

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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.