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Finding the Third Proportional to 1,605,946.50 and 2,364,552

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Solution

The third proportional to 1,605,946.50 and 2,364,552 is: 3,481,502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,946.50 : 2,364,552 = 2,364,552 : x
  2. Step 2: Convert to fraction form
    1,605,946.50/2,364,552 = 2,364,552/x
  3. Step 3: Cross multiply
    1,605,946.50x = 2,364,552 × 2,364,552
  4. Step 4: Simplify right side
    1,605,946.50x = 5,591,106,160,704
  5. Step 5: Solve for x
    x = 5,591,106,160,704/1,605,946.50
  6. Step 6: Final answer
    x = 3,481,502.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.