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Finding the Third Proportional to 977,016.75 and 2,121,143.25

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Solution

The third proportional to 977,016.75 and 2,121,143.25 is: 4,605,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,016.75 : 2,121,143.25 = 2,121,143.25 : x
  2. Step 2: Convert to fraction form
    977,016.75/2,121,143.25 = 2,121,143.25/x
  3. Step 3: Cross multiply
    977,016.75x = 2,121,143.25 × 2,121,143.25
  4. Step 4: Simplify right side
    977,016.75x = 4,499,248,687,020.56
  5. Step 5: Solve for x
    x = 4,499,248,687,020.56/977,016.75
  6. Step 6: Final answer
    x = 4,605,088.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.