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Finding the Third Proportional to 1,837,014.40 and 3,893,036.13

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Solution

The third proportional to 1,837,014.40 and 3,893,036.13 is: 8,250,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837,014.40 : 3,893,036.13 = 3,893,036.13 : x
  2. Step 2: Convert to fraction form
    1,837,014.40/3,893,036.13 = 3,893,036.13/x
  3. Step 3: Cross multiply
    1,837,014.40x = 3,893,036.13 × 3,893,036.13
  4. Step 4: Simplify right side
    1,837,014.40x = 15,155,730,331,383.71
  5. Step 5: Solve for x
    x = 15,155,730,331,383.71/1,837,014.40
  6. Step 6: Final answer
    x = 8,250,196.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.