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Finding the Third Proportional to 897,824 and 1,935,576

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Solution

The third proportional to 897,824 and 1,935,576 is: 4,172,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,824 : 1,935,576 = 1,935,576 : x
  2. Step 2: Convert to fraction form
    897,824/1,935,576 = 1,935,576/x
  3. Step 3: Cross multiply
    897,824x = 1,935,576 × 1,935,576
  4. Step 4: Simplify right side
    897,824x = 3,746,454,451,776
  5. Step 5: Solve for x
    x = 3,746,454,451,776/897,824
  6. Step 6: Final answer
    x = 4,172,816.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.