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Finding the Third Proportional to 923,460 and 1,984,902

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Solution

The third proportional to 923,460 and 1,984,902 is: 4,266,385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,460 : 1,984,902 = 1,984,902 : x
  2. Step 2: Convert to fraction form
    923,460/1,984,902 = 1,984,902/x
  3. Step 3: Cross multiply
    923,460x = 1,984,902 × 1,984,902
  4. Step 4: Simplify right side
    923,460x = 3,939,835,949,604
  5. Step 5: Solve for x
    x = 3,939,835,949,604/923,460
  6. Step 6: Final answer
    x = 4,266,385.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.