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Finding the Third Proportional to 475,588.13 and 1,042,804.13

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Solution

The third proportional to 475,588.13 and 1,042,804.13 is: 2,286,517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,588.13 : 1,042,804.13 = 1,042,804.13 : x
  2. Step 2: Convert to fraction form
    475,588.13/1,042,804.13 = 1,042,804.13/x
  3. Step 3: Cross multiply
    475,588.13x = 1,042,804.13 × 1,042,804.13
  4. Step 4: Simplify right side
    475,588.13x = 1,087,440,443,117.02
  5. Step 5: Solve for x
    x = 1,087,440,443,117.02/475,588.13
  6. Step 6: Final answer
    x = 2,286,517.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.