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Finding the Third Proportional to 1,965,156.19 and 4,294,635.82

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Solution

The third proportional to 1,965,156.19 and 4,294,635.82 is: 9,385,461.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,156.19 : 4,294,635.82 = 4,294,635.82 : x
  2. Step 2: Convert to fraction form
    1,965,156.19/4,294,635.82 = 4,294,635.82/x
  3. Step 3: Cross multiply
    1,965,156.19x = 4,294,635.82 × 4,294,635.82
  4. Step 4: Simplify right side
    1,965,156.19x = 18,443,896,829,111.22
  5. Step 5: Solve for x
    x = 18,443,896,829,111.22/1,965,156.19
  6. Step 6: Final answer
    x = 9,385,461.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.