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Finding the Third Proportional to 473,133.81 and 1,037,867.71

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Solution

The third proportional to 473,133.81 and 1,037,867.71 is: 2,276,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,133.81 : 1,037,867.71 = 1,037,867.71 : x
  2. Step 2: Convert to fraction form
    473,133.81/1,037,867.71 = 1,037,867.71/x
  3. Step 3: Cross multiply
    473,133.81x = 1,037,867.71 × 1,037,867.71
  4. Step 4: Simplify right side
    473,133.81x = 1,077,169,389,460.76
  5. Step 5: Solve for x
    x = 1,077,169,389,460.76/473,133.81
  6. Step 6: Final answer
    x = 2,276,669.64

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