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Finding the Third Proportional to 977,514.75 and 2,153,945.25

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Solution

The third proportional to 977,514.75 and 2,153,945.25 is: 4,746,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,514.75 : 2,153,945.25 = 2,153,945.25 : x
  2. Step 2: Convert to fraction form
    977,514.75/2,153,945.25 = 2,153,945.25/x
  3. Step 3: Cross multiply
    977,514.75x = 2,153,945.25 × 2,153,945.25
  4. Step 4: Simplify right side
    977,514.75x = 4,639,480,139,997.56
  5. Step 5: Solve for x
    x = 4,639,480,139,997.56/977,514.75
  6. Step 6: Final answer
    x = 4,746,199.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.