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Finding the Third Proportional to 932,696 and 1,440,262.50

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Solution

The third proportional to 932,696 and 1,440,262.50 is: 2,224,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,696 : 1,440,262.50 = 1,440,262.50 : x
  2. Step 2: Convert to fraction form
    932,696/1,440,262.50 = 1,440,262.50/x
  3. Step 3: Cross multiply
    932,696x = 1,440,262.50 × 1,440,262.50
  4. Step 4: Simplify right side
    932,696x = 2,074,356,068,906.25
  5. Step 5: Solve for x
    x = 2,074,356,068,906.25/932,696
  6. Step 6: Final answer
    x = 2,224,043.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.