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Finding the Third Proportional to 822,123.42 and 1,793,646.28

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Solution

The third proportional to 822,123.42 and 1,793,646.28 is: 3,913,240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,123.42 : 1,793,646.28 = 1,793,646.28 : x
  2. Step 2: Convert to fraction form
    822,123.42/1,793,646.28 = 1,793,646.28/x
  3. Step 3: Cross multiply
    822,123.42x = 1,793,646.28 × 1,793,646.28
  4. Step 4: Simplify right side
    822,123.42x = 3,217,166,982,241.95
  5. Step 5: Solve for x
    x = 3,217,166,982,241.95/822,123.42
  6. Step 6: Final answer
    x = 3,913,240.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.