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Finding the Third Proportional to 444,964 and 921,470

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Solution

The third proportional to 444,964 and 921,470 is: 1,908,259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,964 : 921,470 = 921,470 : x
  2. Step 2: Convert to fraction form
    444,964/921,470 = 921,470/x
  3. Step 3: Cross multiply
    444,964x = 921,470 × 921,470
  4. Step 4: Simplify right side
    444,964x = 849,106,960,900
  5. Step 5: Solve for x
    x = 849,106,960,900/444,964
  6. Step 6: Final answer
    x = 1,908,259.91

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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.