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Finding the Third Proportional to 904,226.63 and 1,264,242.94

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Solution

The third proportional to 904,226.63 and 1,264,242.94 is: 1,767,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,226.63 : 1,264,242.94 = 1,264,242.94 : x
  2. Step 2: Convert to fraction form
    904,226.63/1,264,242.94 = 1,264,242.94/x
  3. Step 3: Cross multiply
    904,226.63x = 1,264,242.94 × 1,264,242.94
  4. Step 4: Simplify right side
    904,226.63x = 1,598,310,205,018.63
  5. Step 5: Solve for x
    x = 1,598,310,205,018.63/904,226.63
  6. Step 6: Final answer
    x = 1,767,599.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.