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Finding the Third Proportional to 474,390 and 1,036,332

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Solution

The third proportional to 474,390 and 1,036,332 is: 2,263,926.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,390 : 1,036,332 = 1,036,332 : x
  2. Step 2: Convert to fraction form
    474,390/1,036,332 = 1,036,332/x
  3. Step 3: Cross multiply
    474,390x = 1,036,332 × 1,036,332
  4. Step 4: Simplify right side
    474,390x = 1,073,984,014,224
  5. Step 5: Solve for x
    x = 1,073,984,014,224/474,390
  6. Step 6: Final answer
    x = 2,263,926.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.