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Finding the Third Proportional to 927,282.94 and 1,977,042.94

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Solution

The third proportional to 927,282.94 and 1,977,042.94 is: 4,215,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,282.94 : 1,977,042.94 = 1,977,042.94 : x
  2. Step 2: Convert to fraction form
    927,282.94/1,977,042.94 = 1,977,042.94/x
  3. Step 3: Cross multiply
    927,282.94x = 1,977,042.94 × 1,977,042.94
  4. Step 4: Simplify right side
    927,282.94x = 3,908,698,776,718.63
  5. Step 5: Solve for x
    x = 3,908,698,776,718.63/927,282.94
  6. Step 6: Final answer
    x = 4,215,216.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.