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Finding the Third Proportional to 817,011 and 1,259,973

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Solution

The third proportional to 817,011 and 1,259,973 is: 1,943,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,011 : 1,259,973 = 1,259,973 : x
  2. Step 2: Convert to fraction form
    817,011/1,259,973 = 1,259,973/x
  3. Step 3: Cross multiply
    817,011x = 1,259,973 × 1,259,973
  4. Step 4: Simplify right side
    817,011x = 1,587,531,960,729
  5. Step 5: Solve for x
    x = 1,587,531,960,729/817,011
  6. Step 6: Final answer
    x = 1,943,097.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.