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Finding the Third Proportional to 485,866 and 1,065,332

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Solution

The third proportional to 485,866 and 1,065,332 is: 2,335,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,866 : 1,065,332 = 1,065,332 : x
  2. Step 2: Convert to fraction form
    485,866/1,065,332 = 1,065,332/x
  3. Step 3: Cross multiply
    485,866x = 1,065,332 × 1,065,332
  4. Step 4: Simplify right side
    485,866x = 1,134,932,270,224
  5. Step 5: Solve for x
    x = 1,134,932,270,224/485,866
  6. Step 6: Final answer
    x = 2,335,895.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.