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Finding the Third Proportional to 661,581 and 931,669.59

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Solution

The third proportional to 661,581 and 931,669.59 is: 1,312,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,581 : 931,669.59 = 931,669.59 : x
  2. Step 2: Convert to fraction form
    661,581/931,669.59 = 931,669.59/x
  3. Step 3: Cross multiply
    661,581x = 931,669.59 × 931,669.59
  4. Step 4: Simplify right side
    661,581x = 868,008,231,918.29
  5. Step 5: Solve for x
    x = 868,008,231,918.29/661,581
  6. Step 6: Final answer
    x = 1,312,021.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.