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Finding the Third Proportional to 2,143,586.81 and 4,598,001.56

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Solution

The third proportional to 2,143,586.81 and 4,598,001.56 is: 9,862,730.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,586.81 : 4,598,001.56 = 4,598,001.56 : x
  2. Step 2: Convert to fraction form
    2,143,586.81/4,598,001.56 = 4,598,001.56/x
  3. Step 3: Cross multiply
    2,143,586.81x = 4,598,001.56 × 4,598,001.56
  4. Step 4: Simplify right side
    2,143,586.81x = 21,141,618,368,752.44
  5. Step 5: Solve for x
    x = 21,141,618,368,752.44/2,143,586.81
  6. Step 6: Final answer
    x = 9,862,730.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.