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Finding the Third Proportional to 562,368 and 1,214,664

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Solution

The third proportional to 562,368 and 1,214,664 is: 2,623,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,368 : 1,214,664 = 1,214,664 : x
  2. Step 2: Convert to fraction form
    562,368/1,214,664 = 1,214,664/x
  3. Step 3: Cross multiply
    562,368x = 1,214,664 × 1,214,664
  4. Step 4: Simplify right side
    562,368x = 1,475,408,632,896
  5. Step 5: Solve for x
    x = 1,475,408,632,896/562,368
  6. Step 6: Final answer
    x = 2,623,564.34

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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.