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Finding the Third Proportional to 592,223 and 1,302,508

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Solution

The third proportional to 592,223 and 1,302,508 is: 2,864,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,223 : 1,302,508 = 1,302,508 : x
  2. Step 2: Convert to fraction form
    592,223/1,302,508 = 1,302,508/x
  3. Step 3: Cross multiply
    592,223x = 1,302,508 × 1,302,508
  4. Step 4: Simplify right side
    592,223x = 1,696,527,090,064
  5. Step 5: Solve for x
    x = 1,696,527,090,064/592,223
  6. Step 6: Final answer
    x = 2,864,676.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.