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Finding the Third Proportional to 563,060 and 1,214,696

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Solution

The third proportional to 563,060 and 1,214,696 is: 2,620,478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,060 : 1,214,696 = 1,214,696 : x
  2. Step 2: Convert to fraction form
    563,060/1,214,696 = 1,214,696/x
  3. Step 3: Cross multiply
    563,060x = 1,214,696 × 1,214,696
  4. Step 4: Simplify right side
    563,060x = 1,475,486,372,416
  5. Step 5: Solve for x
    x = 1,475,486,372,416/563,060
  6. Step 6: Final answer
    x = 2,620,478.05

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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.