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Finding the Third Proportional to 999,509 and 1,461,777

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Solution

The third proportional to 999,509 and 1,461,777 is: 2,137,841.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,509 : 1,461,777 = 1,461,777 : x
  2. Step 2: Convert to fraction form
    999,509/1,461,777 = 1,461,777/x
  3. Step 3: Cross multiply
    999,509x = 1,461,777 × 1,461,777
  4. Step 4: Simplify right side
    999,509x = 2,136,791,997,729
  5. Step 5: Solve for x
    x = 2,136,791,997,729/999,509
  6. Step 6: Final answer
    x = 2,137,841.68

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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.