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Finding the Third Proportional to 961,789 and 1,500,913

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Solution

The third proportional to 961,789 and 1,500,913 is: 2,342,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,789 : 1,500,913 = 1,500,913 : x
  2. Step 2: Convert to fraction form
    961,789/1,500,913 = 1,500,913/x
  3. Step 3: Cross multiply
    961,789x = 1,500,913 × 1,500,913
  4. Step 4: Simplify right side
    961,789x = 2,252,739,833,569
  5. Step 5: Solve for x
    x = 2,252,739,833,569/961,789
  6. Step 6: Final answer
    x = 2,342,239.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.