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Finding the Third Proportional to 972,335 and 1,538,419

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Solution

The third proportional to 972,335 and 1,538,419 is: 2,434,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,335 : 1,538,419 = 1,538,419 : x
  2. Step 2: Convert to fraction form
    972,335/1,538,419 = 1,538,419/x
  3. Step 3: Cross multiply
    972,335x = 1,538,419 × 1,538,419
  4. Step 4: Simplify right side
    972,335x = 2,366,733,019,561
  5. Step 5: Solve for x
    x = 2,366,733,019,561/972,335
  6. Step 6: Final answer
    x = 2,434,071.61

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.