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Finding the Third Proportional to 444,948.19 and 921,439.13

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Solution

The third proportional to 444,948.19 and 921,439.13 is: 1,908,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,948.19 : 921,439.13 = 921,439.13 : x
  2. Step 2: Convert to fraction form
    444,948.19/921,439.13 = 921,439.13/x
  3. Step 3: Cross multiply
    444,948.19x = 921,439.13 × 921,439.13
  4. Step 4: Simplify right side
    444,948.19x = 849,050,061,080.77
  5. Step 5: Solve for x
    x = 849,050,061,080.77/444,948.19
  6. Step 6: Final answer
    x = 1,908,199.84

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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.