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Finding the Third Proportional to 682,368 and 1,586,304

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Solution

The third proportional to 682,368 and 1,586,304 is: 3,687,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,368 : 1,586,304 = 1,586,304 : x
  2. Step 2: Convert to fraction form
    682,368/1,586,304 = 1,586,304/x
  3. Step 3: Cross multiply
    682,368x = 1,586,304 × 1,586,304
  4. Step 4: Simplify right side
    682,368x = 2,516,360,380,416
  5. Step 5: Solve for x
    x = 2,516,360,380,416/682,368
  6. Step 6: Final answer
    x = 3,687,688.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.