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Finding the Third Proportional to 761,073 and 1,641,132

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Solution

The third proportional to 761,073 and 1,641,132 is: 3,538,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,073 : 1,641,132 = 1,641,132 : x
  2. Step 2: Convert to fraction form
    761,073/1,641,132 = 1,641,132/x
  3. Step 3: Cross multiply
    761,073x = 1,641,132 × 1,641,132
  4. Step 4: Simplify right side
    761,073x = 2,693,314,241,424
  5. Step 5: Solve for x
    x = 2,693,314,241,424/761,073
  6. Step 6: Final answer
    x = 3,538,838.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.