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Finding the Third Proportional to 575,953.50 and 1,256,721

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Solution

The third proportional to 575,953.50 and 1,256,721 is: 2,742,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,953.50 : 1,256,721 = 1,256,721 : x
  2. Step 2: Convert to fraction form
    575,953.50/1,256,721 = 1,256,721/x
  3. Step 3: Cross multiply
    575,953.50x = 1,256,721 × 1,256,721
  4. Step 4: Simplify right side
    575,953.50x = 1,579,347,671,841
  5. Step 5: Solve for x
    x = 1,579,347,671,841/575,953.50
  6. Step 6: Final answer
    x = 2,742,144.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.