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Finding the Third Proportional to 596,065 and 1,277,355

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Solution

The third proportional to 596,065 and 1,277,355 is: 2,737,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,065 : 1,277,355 = 1,277,355 : x
  2. Step 2: Convert to fraction form
    596,065/1,277,355 = 1,277,355/x
  3. Step 3: Cross multiply
    596,065x = 1,277,355 × 1,277,355
  4. Step 4: Simplify right side
    596,065x = 1,631,635,796,025
  5. Step 5: Solve for x
    x = 1,631,635,796,025/596,065
  6. Step 6: Final answer
    x = 2,737,345.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.