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Finding the Third Proportional to 562,491 and 1,214,784

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Solution

The third proportional to 562,491 and 1,214,784 is: 2,623,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,491 : 1,214,784 = 1,214,784 : x
  2. Step 2: Convert to fraction form
    562,491/1,214,784 = 1,214,784/x
  3. Step 3: Cross multiply
    562,491x = 1,214,784 × 1,214,784
  4. Step 4: Simplify right side
    562,491x = 1,475,700,166,656
  5. Step 5: Solve for x
    x = 1,475,700,166,656/562,491
  6. Step 6: Final answer
    x = 2,623,508.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.