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Finding the Third Proportional to 444,946.50 and 921,436.13

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Solution

The third proportional to 444,946.50 and 921,436.13 is: 1,908,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,946.50 : 921,436.13 = 921,436.13 : x
  2. Step 2: Convert to fraction form
    444,946.50/921,436.13 = 921,436.13/x
  3. Step 3: Cross multiply
    444,946.50x = 921,436.13 × 921,436.13
  4. Step 4: Simplify right side
    444,946.50x = 849,044,532,455.02
  5. Step 5: Solve for x
    x = 849,044,532,455.02/444,946.50
  6. Step 6: Final answer
    x = 1,908,194.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.