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Finding the Third Proportional to 1,806,929 and 2,642,511

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Solution

The third proportional to 1,806,929 and 2,642,511 is: 3,864,492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806,929 : 2,642,511 = 2,642,511 : x
  2. Step 2: Convert to fraction form
    1,806,929/2,642,511 = 2,642,511/x
  3. Step 3: Cross multiply
    1,806,929x = 2,642,511 × 2,642,511
  4. Step 4: Simplify right side
    1,806,929x = 6,982,864,385,121
  5. Step 5: Solve for x
    x = 6,982,864,385,121/1,806,929
  6. Step 6: Final answer
    x = 3,864,492.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.