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Finding the Third Proportional to 3,432,386.81 and 4,661,605.69

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Solution

The third proportional to 3,432,386.81 and 4,661,605.69 is: 6,331,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432,386.81 : 4,661,605.69 = 4,661,605.69 : x
  2. Step 2: Convert to fraction form
    3,432,386.81/4,661,605.69 = 4,661,605.69/x
  3. Step 3: Cross multiply
    3,432,386.81x = 4,661,605.69 × 4,661,605.69
  4. Step 4: Simplify right side
    3,432,386.81x = 21,730,567,585,732.35
  5. Step 5: Solve for x
    x = 21,730,567,585,732.35/3,432,386.81
  6. Step 6: Final answer
    x = 6,331,036.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.