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Finding the Third Proportional to 932,820 and 1,440,456

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Solution

The third proportional to 932,820 and 1,440,456 is: 2,224,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,820 : 1,440,456 = 1,440,456 : x
  2. Step 2: Convert to fraction form
    932,820/1,440,456 = 1,440,456/x
  3. Step 3: Cross multiply
    932,820x = 1,440,456 × 1,440,456
  4. Step 4: Simplify right side
    932,820x = 2,074,913,487,936
  5. Step 5: Solve for x
    x = 2,074,913,487,936/932,820
  6. Step 6: Final answer
    x = 2,224,344.98

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.