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Finding the Third Proportional to 407,416 and 896,048

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Solution

The third proportional to 407,416 and 896,048 is: 1,970,717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,416 : 896,048 = 896,048 : x
  2. Step 2: Convert to fraction form
    407,416/896,048 = 896,048/x
  3. Step 3: Cross multiply
    407,416x = 896,048 × 896,048
  4. Step 4: Simplify right side
    407,416x = 802,902,018,304
  5. Step 5: Solve for x
    x = 802,902,018,304/407,416
  6. Step 6: Final answer
    x = 1,970,717.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.