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Finding the Third Proportional to 417,210 and 897,294

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Solution

The third proportional to 417,210 and 897,294 is: 1,929,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,210 : 897,294 = 897,294 : x
  2. Step 2: Convert to fraction form
    417,210/897,294 = 897,294/x
  3. Step 3: Cross multiply
    417,210x = 897,294 × 897,294
  4. Step 4: Simplify right side
    417,210x = 805,136,522,436
  5. Step 5: Solve for x
    x = 805,136,522,436/417,210
  6. Step 6: Final answer
    x = 1,929,811.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.