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Finding the Third Proportional to 973,180.83 and 2,135,810.53

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Solution

The third proportional to 973,180.83 and 2,135,810.53 is: 4,687,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,180.83 : 2,135,810.53 = 2,135,810.53 : x
  2. Step 2: Convert to fraction form
    973,180.83/2,135,810.53 = 2,135,810.53/x
  3. Step 3: Cross multiply
    973,180.83x = 2,135,810.53 × 2,135,810.53
  4. Step 4: Simplify right side
    973,180.83x = 4,561,686,625,398.41
  5. Step 5: Solve for x
    x = 4,561,686,625,398.41/973,180.83
  6. Step 6: Final answer
    x = 4,687,398.78

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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.