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Finding the Third Proportional to 827,897.72 and 1,214,599.78

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Solution

The third proportional to 827,897.72 and 1,214,599.78 is: 1,781,926.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,897.72 : 1,214,599.78 = 1,214,599.78 : x
  2. Step 2: Convert to fraction form
    827,897.72/1,214,599.78 = 1,214,599.78/x
  3. Step 3: Cross multiply
    827,897.72x = 1,214,599.78 × 1,214,599.78
  4. Step 4: Simplify right side
    827,897.72x = 1,475,252,628,612.55
  5. Step 5: Solve for x
    x = 1,475,252,628,612.55/827,897.72
  6. Step 6: Final answer
    x = 1,781,926.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.