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Finding the Third Proportional to 3,859,904 and 8,232,784

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Solution

The third proportional to 3,859,904 and 8,232,784 is: 17,559,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859,904 : 8,232,784 = 8,232,784 : x
  2. Step 2: Convert to fraction form
    3,859,904/8,232,784 = 8,232,784/x
  3. Step 3: Cross multiply
    3,859,904x = 8,232,784 × 8,232,784
  4. Step 4: Simplify right side
    3,859,904x = 67,778,732,390,656
  5. Step 5: Solve for x
    x = 67,778,732,390,656/3,859,904
  6. Step 6: Final answer
    x = 17,559,693.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.