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Finding the Third Proportional to 824,234 and 1,737,028

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Solution

The third proportional to 824,234 and 1,737,028 is: 3,660,691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,234 : 1,737,028 = 1,737,028 : x
  2. Step 2: Convert to fraction form
    824,234/1,737,028 = 1,737,028/x
  3. Step 3: Cross multiply
    824,234x = 1,737,028 × 1,737,028
  4. Step 4: Simplify right side
    824,234x = 3,017,266,272,784
  5. Step 5: Solve for x
    x = 3,017,266,272,784/824,234
  6. Step 6: Final answer
    x = 3,660,691.35

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.