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Finding the Third Proportional to 1,947,777 and 2,910,764.06

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Solution

The third proportional to 1,947,777 and 2,910,764.06 is: 4,349,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947,777 : 2,910,764.06 = 2,910,764.06 : x
  2. Step 2: Convert to fraction form
    1,947,777/2,910,764.06 = 2,910,764.06/x
  3. Step 3: Cross multiply
    1,947,777x = 2,910,764.06 × 2,910,764.06
  4. Step 4: Simplify right side
    1,947,777x = 8,472,547,427,541.50
  5. Step 5: Solve for x
    x = 8,472,547,427,541.50/1,947,777
  6. Step 6: Final answer
    x = 4,349,854.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.