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Finding the Third Proportional to 857,565 and 1,693,440

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Solution

The third proportional to 857,565 and 1,693,440 is: 3,344,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,565 : 1,693,440 = 1,693,440 : x
  2. Step 2: Convert to fraction form
    857,565/1,693,440 = 1,693,440/x
  3. Step 3: Cross multiply
    857,565x = 1,693,440 × 1,693,440
  4. Step 4: Simplify right side
    857,565x = 2,867,739,033,600
  5. Step 5: Solve for x
    x = 2,867,739,033,600/857,565
  6. Step 6: Final answer
    x = 3,344,048.60

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.