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Finding the Third Proportional to 562,224 and 1,210,416

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Solution

The third proportional to 562,224 and 1,210,416 is: 2,605,913.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,224 : 1,210,416 = 1,210,416 : x
  2. Step 2: Convert to fraction form
    562,224/1,210,416 = 1,210,416/x
  3. Step 3: Cross multiply
    562,224x = 1,210,416 × 1,210,416
  4. Step 4: Simplify right side
    562,224x = 1,465,106,893,056
  5. Step 5: Solve for x
    x = 1,465,106,893,056/562,224
  6. Step 6: Final answer
    x = 2,605,913.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.