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Finding the Third Proportional to 3,205,097.13 and 4,956,139

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Solution

The third proportional to 3,205,097.13 and 4,956,139 is: 7,663,828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,097.13 : 4,956,139 = 4,956,139 : x
  2. Step 2: Convert to fraction form
    3,205,097.13/4,956,139 = 4,956,139/x
  3. Step 3: Cross multiply
    3,205,097.13x = 4,956,139 × 4,956,139
  4. Step 4: Simplify right side
    3,205,097.13x = 24,563,313,787,321
  5. Step 5: Solve for x
    x = 24,563,313,787,321/3,205,097.13
  6. Step 6: Final answer
    x = 7,663,828.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.