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Finding the Third Proportional to 563,864.63 and 1,215,752.63

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Solution

The third proportional to 563,864.63 and 1,215,752.63 is: 2,621,293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,864.63 : 1,215,752.63 = 1,215,752.63 : x
  2. Step 2: Convert to fraction form
    563,864.63/1,215,752.63 = 1,215,752.63/x
  3. Step 3: Cross multiply
    563,864.63x = 1,215,752.63 × 1,215,752.63
  4. Step 4: Simplify right side
    563,864.63x = 1,478,054,445,194.39
  5. Step 5: Solve for x
    x = 1,478,054,445,194.39/563,864.63
  6. Step 6: Final answer
    x = 2,621,293.09

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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.