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Finding the Third Proportional to 1,834,824 and 2,834,047

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Solution

The third proportional to 1,834,824 and 2,834,047 is: 4,377,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,824 : 2,834,047 = 2,834,047 : x
  2. Step 2: Convert to fraction form
    1,834,824/2,834,047 = 2,834,047/x
  3. Step 3: Cross multiply
    1,834,824x = 2,834,047 × 2,834,047
  4. Step 4: Simplify right side
    1,834,824x = 8,031,822,398,209
  5. Step 5: Solve for x
    x = 8,031,822,398,209/1,834,824
  6. Step 6: Final answer
    x = 4,377,434.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.