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Finding the Third Proportional to 761,973.75 and 1,665,624.94

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Solution

The third proportional to 761,973.75 and 1,665,624.94 is: 3,640,947.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,973.75 : 1,665,624.94 = 1,665,624.94 : x
  2. Step 2: Convert to fraction form
    761,973.75/1,665,624.94 = 1,665,624.94/x
  3. Step 3: Cross multiply
    761,973.75x = 1,665,624.94 × 1,665,624.94
  4. Step 4: Simplify right side
    761,973.75x = 2,774,306,432,421.88
  5. Step 5: Solve for x
    x = 2,774,306,432,421.88/761,973.75
  6. Step 6: Final answer
    x = 3,640,947.52

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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.