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Finding the Third Proportional to 872,046 and 1,273,556

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Solution

The third proportional to 872,046 and 1,273,556 is: 1,859,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,046 : 1,273,556 = 1,273,556 : x
  2. Step 2: Convert to fraction form
    872,046/1,273,556 = 1,273,556/x
  3. Step 3: Cross multiply
    872,046x = 1,273,556 × 1,273,556
  4. Step 4: Simplify right side
    872,046x = 1,621,944,885,136
  5. Step 5: Solve for x
    x = 1,621,944,885,136/872,046
  6. Step 6: Final answer
    x = 1,859,930.42

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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.