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Finding the Third Proportional to 870,786 and 1,345,014

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Solution

The third proportional to 870,786 and 1,345,014 is: 2,077,505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,786 : 1,345,014 = 1,345,014 : x
  2. Step 2: Convert to fraction form
    870,786/1,345,014 = 1,345,014/x
  3. Step 3: Cross multiply
    870,786x = 1,345,014 × 1,345,014
  4. Step 4: Simplify right side
    870,786x = 1,809,062,660,196
  5. Step 5: Solve for x
    x = 1,809,062,660,196/870,786
  6. Step 6: Final answer
    x = 2,077,505.45

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.