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Finding the Third Proportional to 562,368 and 1,327,488

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Solution

The third proportional to 562,368 and 1,327,488 is: 3,133,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,368 : 1,327,488 = 1,327,488 : x
  2. Step 2: Convert to fraction form
    562,368/1,327,488 = 1,327,488/x
  3. Step 3: Cross multiply
    562,368x = 1,327,488 × 1,327,488
  4. Step 4: Simplify right side
    562,368x = 1,762,224,390,144
  5. Step 5: Solve for x
    x = 1,762,224,390,144/562,368
  6. Step 6: Final answer
    x = 3,133,578.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.