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Finding the Third Proportional to 415,552 and 903,968

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Solution

The third proportional to 415,552 and 903,968 is: 1,966,440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,552 : 903,968 = 903,968 : x
  2. Step 2: Convert to fraction form
    415,552/903,968 = 903,968/x
  3. Step 3: Cross multiply
    415,552x = 903,968 × 903,968
  4. Step 4: Simplify right side
    415,552x = 817,158,145,024
  5. Step 5: Solve for x
    x = 817,158,145,024/415,552
  6. Step 6: Final answer
    x = 1,966,440.17

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Why These Related Problems?

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