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Finding the Third Proportional to 765,817.88 and 1,271,927.81

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Solution

The third proportional to 765,817.88 and 1,271,927.81 is: 2,112,513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,817.88 : 1,271,927.81 = 1,271,927.81 : x
  2. Step 2: Convert to fraction form
    765,817.88/1,271,927.81 = 1,271,927.81/x
  3. Step 3: Cross multiply
    765,817.88x = 1,271,927.81 × 1,271,927.81
  4. Step 4: Simplify right side
    765,817.88x = 1,617,800,360,211.04
  5. Step 5: Solve for x
    x = 1,617,800,360,211.04/765,817.88
  6. Step 6: Final answer
    x = 2,112,513.19

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.