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Finding the Third Proportional to 865,477.69 and 2,003,423.81

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Solution

The third proportional to 865,477.69 and 2,003,423.81 is: 4,637,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,477.69 : 2,003,423.81 = 2,003,423.81 : x
  2. Step 2: Convert to fraction form
    865,477.69/2,003,423.81 = 2,003,423.81/x
  3. Step 3: Cross multiply
    865,477.69x = 2,003,423.81 × 2,003,423.81
  4. Step 4: Simplify right side
    865,477.69x = 4,013,706,972,492.04
  5. Step 5: Solve for x
    x = 4,013,706,972,492.04/865,477.69
  6. Step 6: Final answer
    x = 4,637,562.62

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.