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Finding the Third Proportional to 934,276.15 and 1,463,666.84

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Solution

The third proportional to 934,276.15 and 1,463,666.84 is: 2,293,027.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,276.15 : 1,463,666.84 = 1,463,666.84 : x
  2. Step 2: Convert to fraction form
    934,276.15/1,463,666.84 = 1,463,666.84/x
  3. Step 3: Cross multiply
    934,276.15x = 1,463,666.84 × 1,463,666.84
  4. Step 4: Simplify right side
    934,276.15x = 2,142,320,606,623.29
  5. Step 5: Solve for x
    x = 2,142,320,606,623.29/934,276.15
  6. Step 6: Final answer
    x = 2,293,027.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.