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Finding the Third Proportional to 2,041,665.75 and 3,015,802.13

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Solution

The third proportional to 2,041,665.75 and 3,015,802.13 is: 4,454,726.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041,665.75 : 3,015,802.13 = 3,015,802.13 : x
  2. Step 2: Convert to fraction form
    2,041,665.75/3,015,802.13 = 3,015,802.13/x
  3. Step 3: Cross multiply
    2,041,665.75x = 3,015,802.13 × 3,015,802.13
  4. Step 4: Simplify right side
    2,041,665.75x = 9,095,062,457,154.52
  5. Step 5: Solve for x
    x = 9,095,062,457,154.52/2,041,665.75
  6. Step 6: Final answer
    x = 4,454,726.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.