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Finding the Third Proportional to 870,926 and 1,203,462

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Solution

The third proportional to 870,926 and 1,203,462 is: 1,662,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,926 : 1,203,462 = 1,203,462 : x
  2. Step 2: Convert to fraction form
    870,926/1,203,462 = 1,203,462/x
  3. Step 3: Cross multiply
    870,926x = 1,203,462 × 1,203,462
  4. Step 4: Simplify right side
    870,926x = 1,448,320,785,444
  5. Step 5: Solve for x
    x = 1,448,320,785,444/870,926
  6. Step 6: Final answer
    x = 1,662,966.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.