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Finding the Third Proportional to 426,937.50 and 917,186.63

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Solution

The third proportional to 426,937.50 and 917,186.63 is: 1,970,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,937.50 : 917,186.63 = 917,186.63 : x
  2. Step 2: Convert to fraction form
    426,937.50/917,186.63 = 917,186.63/x
  3. Step 3: Cross multiply
    426,937.50x = 917,186.63 × 917,186.63
  4. Step 4: Simplify right side
    426,937.50x = 841,231,305,078.89
  5. Step 5: Solve for x
    x = 841,231,305,078.89/426,937.50
  6. Step 6: Final answer
    x = 1,970,385.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.