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Finding the Third Proportional to 514,939.78 and 1,127,973.09

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Solution

The third proportional to 514,939.78 and 1,127,973.09 is: 2,470,819.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,939.78 : 1,127,973.09 = 1,127,973.09 : x
  2. Step 2: Convert to fraction form
    514,939.78/1,127,973.09 = 1,127,973.09/x
  3. Step 3: Cross multiply
    514,939.78x = 1,127,973.09 × 1,127,973.09
  4. Step 4: Simplify right side
    514,939.78x = 1,272,323,300,223.95
  5. Step 5: Solve for x
    x = 1,272,323,300,223.95/514,939.78
  6. Step 6: Final answer
    x = 2,470,819.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.