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Finding the Third Proportional to 809,688.38 and 1,210,072.50

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Solution

The third proportional to 809,688.38 and 1,210,072.50 is: 1,808,443.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,688.38 : 1,210,072.50 = 1,210,072.50 : x
  2. Step 2: Convert to fraction form
    809,688.38/1,210,072.50 = 1,210,072.50/x
  3. Step 3: Cross multiply
    809,688.38x = 1,210,072.50 × 1,210,072.50
  4. Step 4: Simplify right side
    809,688.38x = 1,464,275,455,256.25
  5. Step 5: Solve for x
    x = 1,464,275,455,256.25/809,688.38
  6. Step 6: Final answer
    x = 1,808,443.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.