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Finding the Third Proportional to 765,823.50 and 1,271,937

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Solution

The third proportional to 765,823.50 and 1,271,937 is: 2,112,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,823.50 : 1,271,937 = 1,271,937 : x
  2. Step 2: Convert to fraction form
    765,823.50/1,271,937 = 1,271,937/x
  3. Step 3: Cross multiply
    765,823.50x = 1,271,937 × 1,271,937
  4. Step 4: Simplify right side
    765,823.50x = 1,617,823,731,969
  5. Step 5: Solve for x
    x = 1,617,823,731,969/765,823.50
  6. Step 6: Final answer
    x = 2,112,528.19

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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.