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Finding the Third Proportional to 562,320 and 1,214,576

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Solution

The third proportional to 562,320 and 1,214,576 is: 2,623,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,320 : 1,214,576 = 1,214,576 : x
  2. Step 2: Convert to fraction form
    562,320/1,214,576 = 1,214,576/x
  3. Step 3: Cross multiply
    562,320x = 1,214,576 × 1,214,576
  4. Step 4: Simplify right side
    562,320x = 1,475,194,859,776
  5. Step 5: Solve for x
    x = 1,475,194,859,776/562,320
  6. Step 6: Final answer
    x = 2,623,408.13

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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.