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Finding the Third Proportional to 412,476 and 904,656

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Solution

The third proportional to 412,476 and 904,656 is: 1,984,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,476 : 904,656 = 904,656 : x
  2. Step 2: Convert to fraction form
    412,476/904,656 = 904,656/x
  3. Step 3: Cross multiply
    412,476x = 904,656 × 904,656
  4. Step 4: Simplify right side
    412,476x = 818,402,478,336
  5. Step 5: Solve for x
    x = 818,402,478,336/412,476
  6. Step 6: Final answer
    x = 1,984,121.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.