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Finding the Third Proportional to 999,511 and 1,461,780

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Solution

The third proportional to 999,511 and 1,461,780 is: 2,137,846.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,511 : 1,461,780 = 1,461,780 : x
  2. Step 2: Convert to fraction form
    999,511/1,461,780 = 1,461,780/x
  3. Step 3: Cross multiply
    999,511x = 1,461,780 × 1,461,780
  4. Step 4: Simplify right side
    999,511x = 2,136,800,768,400
  5. Step 5: Solve for x
    x = 2,136,800,768,400/999,511
  6. Step 6: Final answer
    x = 2,137,846.18

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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.