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Finding the Third Proportional to 977,856 and 1,512,831

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Solution

The third proportional to 977,856 and 1,512,831 is: 2,340,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,856 : 1,512,831 = 1,512,831 : x
  2. Step 2: Convert to fraction form
    977,856/1,512,831 = 1,512,831/x
  3. Step 3: Cross multiply
    977,856x = 1,512,831 × 1,512,831
  4. Step 4: Simplify right side
    977,856x = 2,288,657,634,561
  5. Step 5: Solve for x
    x = 2,288,657,634,561/977,856
  6. Step 6: Final answer
    x = 2,340,485.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.