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Finding the Third Proportional to 999,569 and 1,461,863

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Solution

The third proportional to 999,569 and 1,461,863 is: 2,137,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,569 : 1,461,863 = 1,461,863 : x
  2. Step 2: Convert to fraction form
    999,569/1,461,863 = 1,461,863/x
  3. Step 3: Cross multiply
    999,569x = 1,461,863 × 1,461,863
  4. Step 4: Simplify right side
    999,569x = 2,137,043,430,769
  5. Step 5: Solve for x
    x = 2,137,043,430,769/999,569
  6. Step 6: Final answer
    x = 2,137,964.89

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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.