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Finding the Third Proportional to 785,784 and 1,163,943

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Solution

The third proportional to 785,784 and 1,163,943 is: 1,724,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,784 : 1,163,943 = 1,163,943 : x
  2. Step 2: Convert to fraction form
    785,784/1,163,943 = 1,163,943/x
  3. Step 3: Cross multiply
    785,784x = 1,163,943 × 1,163,943
  4. Step 4: Simplify right side
    785,784x = 1,354,763,307,249
  5. Step 5: Solve for x
    x = 1,354,763,307,249/785,784
  6. Step 6: Final answer
    x = 1,724,091.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.