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Finding the Third Proportional to 710,100.11 and 1,064,983.57

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Solution

The third proportional to 710,100.11 and 1,064,983.57 is: 1,597,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,100.11 : 1,064,983.57 = 1,064,983.57 : x
  2. Step 2: Convert to fraction form
    710,100.11/1,064,983.57 = 1,064,983.57/x
  3. Step 3: Cross multiply
    710,100.11x = 1,064,983.57 × 1,064,983.57
  4. Step 4: Simplify right side
    710,100.11x = 1,134,190,005,035.56
  5. Step 5: Solve for x
    x = 1,134,190,005,035.56/710,100.11
  6. Step 6: Final answer
    x = 1,597,225.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.