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Finding the Third Proportional to 592,614 and 846,831

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Solution

The third proportional to 592,614 and 846,831 is: 1,210,100.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,614 : 846,831 = 846,831 : x
  2. Step 2: Convert to fraction form
    592,614/846,831 = 846,831/x
  3. Step 3: Cross multiply
    592,614x = 846,831 × 846,831
  4. Step 4: Simplify right side
    592,614x = 717,122,742,561
  5. Step 5: Solve for x
    x = 717,122,742,561/592,614
  6. Step 6: Final answer
    x = 1,210,100.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.