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Finding the Third Proportional to 2,183,775.19 and 4,744,802.81

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Solution

The third proportional to 2,183,775.19 and 4,744,802.81 is: 10,309,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183,775.19 : 4,744,802.81 = 4,744,802.81 : x
  2. Step 2: Convert to fraction form
    2,183,775.19/4,744,802.81 = 4,744,802.81/x
  3. Step 3: Cross multiply
    2,183,775.19x = 4,744,802.81 × 4,744,802.81
  4. Step 4: Simplify right side
    2,183,775.19x = 22,513,153,729,507.91
  5. Step 5: Solve for x
    x = 22,513,153,729,507.91/2,183,775.19
  6. Step 6: Final answer
    x = 10,309,281.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.