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Finding the Third Proportional to 461,165.06 and 1,013,124.75

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Solution

The third proportional to 461,165.06 and 1,013,124.75 is: 2,225,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,165.06 : 1,013,124.75 = 1,013,124.75 : x
  2. Step 2: Convert to fraction form
    461,165.06/1,013,124.75 = 1,013,124.75/x
  3. Step 3: Cross multiply
    461,165.06x = 1,013,124.75 × 1,013,124.75
  4. Step 4: Simplify right side
    461,165.06x = 1,026,421,759,062.56
  5. Step 5: Solve for x
    x = 1,026,421,759,062.56/461,165.06
  6. Step 6: Final answer
    x = 2,225,714.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.