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Finding the Third Proportional to 999,536 and 1,461,828

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Solution

The third proportional to 999,536 and 1,461,828 is: 2,137,933.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,536 : 1,461,828 = 1,461,828 : x
  2. Step 2: Convert to fraction form
    999,536/1,461,828 = 1,461,828/x
  3. Step 3: Cross multiply
    999,536x = 1,461,828 × 1,461,828
  4. Step 4: Simplify right side
    999,536x = 2,136,941,101,584
  5. Step 5: Solve for x
    x = 2,136,941,101,584/999,536
  6. Step 6: Final answer
    x = 2,137,933.10

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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.