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Finding the Third Proportional to 1,000,172.25 and 2,160,279

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Solution

The third proportional to 1,000,172.25 and 2,160,279 is: 4,666,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,172.25 : 2,160,279 = 2,160,279 : x
  2. Step 2: Convert to fraction form
    1,000,172.25/2,160,279 = 2,160,279/x
  3. Step 3: Cross multiply
    1,000,172.25x = 2,160,279 × 2,160,279
  4. Step 4: Simplify right side
    1,000,172.25x = 4,666,805,357,841
  5. Step 5: Solve for x
    x = 4,666,805,357,841/1,000,172.25
  6. Step 6: Final answer
    x = 4,666,001.64

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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.