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Finding the Third Proportional to 615,434 and 903,182.25

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Solution

The third proportional to 615,434 and 903,182.25 is: 1,325,468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,434 : 903,182.25 = 903,182.25 : x
  2. Step 2: Convert to fraction form
    615,434/903,182.25 = 903,182.25/x
  3. Step 3: Cross multiply
    615,434x = 903,182.25 × 903,182.25
  4. Step 4: Simplify right side
    615,434x = 815,738,176,715.06
  5. Step 5: Solve for x
    x = 815,738,176,715.06/615,434
  6. Step 6: Final answer
    x = 1,325,468.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.