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Finding the Third Proportional to 554,126.06 and 1,196,663.63

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Solution

The third proportional to 554,126.06 and 1,196,663.63 is: 2,584,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,126.06 : 1,196,663.63 = 1,196,663.63 : x
  2. Step 2: Convert to fraction form
    554,126.06/1,196,663.63 = 1,196,663.63/x
  3. Step 3: Cross multiply
    554,126.06x = 1,196,663.63 × 1,196,663.63
  4. Step 4: Simplify right side
    554,126.06x = 1,432,003,831,398.14
  5. Step 5: Solve for x
    x = 1,432,003,831,398.14/554,126.06
  6. Step 6: Final answer
    x = 2,584,256.41

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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.