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Finding the Third Proportional to 2,056,042.50 and 4,455,306

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Solution

The third proportional to 2,056,042.50 and 4,455,306 is: 9,654,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056,042.50 : 4,455,306 = 4,455,306 : x
  2. Step 2: Convert to fraction form
    2,056,042.50/4,455,306 = 4,455,306/x
  3. Step 3: Cross multiply
    2,056,042.50x = 4,455,306 × 4,455,306
  4. Step 4: Simplify right side
    2,056,042.50x = 19,849,751,553,636
  5. Step 5: Solve for x
    x = 19,849,751,553,636/2,056,042.50
  6. Step 6: Final answer
    x = 9,654,348.85

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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.