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Finding the Third Proportional to 486,114 and 760,833

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Solution

The third proportional to 486,114 and 760,833 is: 1,190,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,114 : 760,833 = 760,833 : x
  2. Step 2: Convert to fraction form
    486,114/760,833 = 760,833/x
  3. Step 3: Cross multiply
    486,114x = 760,833 × 760,833
  4. Step 4: Simplify right side
    486,114x = 578,866,853,889
  5. Step 5: Solve for x
    x = 578,866,853,889/486,114
  6. Step 6: Final answer
    x = 1,190,804.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.