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Finding the Third Proportional to 870,824.81 and 1,345,065.75

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Solution

The third proportional to 870,824.81 and 1,345,065.75 is: 2,077,572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,824.81 : 1,345,065.75 = 1,345,065.75 : x
  2. Step 2: Convert to fraction form
    870,824.81/1,345,065.75 = 1,345,065.75/x
  3. Step 3: Cross multiply
    870,824.81x = 1,345,065.75 × 1,345,065.75
  4. Step 4: Simplify right side
    870,824.81x = 1,809,201,871,823.06
  5. Step 5: Solve for x
    x = 1,809,201,871,823.06/870,824.81
  6. Step 6: Final answer
    x = 2,077,572.72

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Why These Related Problems?

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