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Finding the Third Proportional to 1,043,206.59 and 2,224,209.38

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Solution

The third proportional to 1,043,206.59 and 2,224,209.38 is: 4,742,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,206.59 : 2,224,209.38 = 2,224,209.38 : x
  2. Step 2: Convert to fraction form
    1,043,206.59/2,224,209.38 = 2,224,209.38/x
  3. Step 3: Cross multiply
    1,043,206.59x = 2,224,209.38 × 2,224,209.38
  4. Step 4: Simplify right side
    1,043,206.59x = 4,947,107,343,837.89
  5. Step 5: Solve for x
    x = 4,947,107,343,837.89/1,043,206.59
  6. Step 6: Final answer
    x = 4,742,212.50

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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.