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Finding the Third Proportional to 840,332 and 1,224,390

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Solution

The third proportional to 840,332 and 1,224,390 is: 1,783,974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,332 : 1,224,390 = 1,224,390 : x
  2. Step 2: Convert to fraction form
    840,332/1,224,390 = 1,224,390/x
  3. Step 3: Cross multiply
    840,332x = 1,224,390 × 1,224,390
  4. Step 4: Simplify right side
    840,332x = 1,499,130,872,100
  5. Step 5: Solve for x
    x = 1,499,130,872,100/840,332
  6. Step 6: Final answer
    x = 1,783,974.51

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.