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Finding the Third Proportional to 904,414 and 1,439,646

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Solution

The third proportional to 904,414 and 1,439,646 is: 2,291,628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,414 : 1,439,646 = 1,439,646 : x
  2. Step 2: Convert to fraction form
    904,414/1,439,646 = 1,439,646/x
  3. Step 3: Cross multiply
    904,414x = 1,439,646 × 1,439,646
  4. Step 4: Simplify right side
    904,414x = 2,072,580,605,316
  5. Step 5: Solve for x
    x = 2,072,580,605,316/904,414
  6. Step 6: Final answer
    x = 2,291,628.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.