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Finding the Third Proportional to 596,061 and 1,277,346

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Solution

The third proportional to 596,061 and 1,277,346 is: 2,737,325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,061 : 1,277,346 = 1,277,346 : x
  2. Step 2: Convert to fraction form
    596,061/1,277,346 = 1,277,346/x
  3. Step 3: Cross multiply
    596,061x = 1,277,346 × 1,277,346
  4. Step 4: Simplify right side
    596,061x = 1,631,612,803,716
  5. Step 5: Solve for x
    x = 1,631,612,803,716/596,061
  6. Step 6: Final answer
    x = 2,737,325.21

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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.