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Finding the Third Proportional to 444,960 and 921,465

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Solution

The third proportional to 444,960 and 921,465 is: 1,908,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,960 : 921,465 = 921,465 : x
  2. Step 2: Convert to fraction form
    444,960/921,465 = 921,465/x
  3. Step 3: Cross multiply
    444,960x = 921,465 × 921,465
  4. Step 4: Simplify right side
    444,960x = 849,097,746,225
  5. Step 5: Solve for x
    x = 849,097,746,225/444,960
  6. Step 6: Final answer
    x = 1,908,256.35

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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.