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Finding the Third Proportional to 665,020.13 and 1,031,837.63

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Solution

The third proportional to 665,020.13 and 1,031,837.63 is: 1,600,987.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,020.13 : 1,031,837.63 = 1,031,837.63 : x
  2. Step 2: Convert to fraction form
    665,020.13/1,031,837.63 = 1,031,837.63/x
  3. Step 3: Cross multiply
    665,020.13x = 1,031,837.63 × 1,031,837.63
  4. Step 4: Simplify right side
    665,020.13x = 1,064,688,884,365.64
  5. Step 5: Solve for x
    x = 1,064,688,884,365.64/665,020.13
  6. Step 6: Final answer
    x = 1,600,987.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.