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Finding the Third Proportional to 817,202 and 1,260,267

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Solution

The third proportional to 817,202 and 1,260,267 is: 1,943,549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,202 : 1,260,267 = 1,260,267 : x
  2. Step 2: Convert to fraction form
    817,202/1,260,267 = 1,260,267/x
  3. Step 3: Cross multiply
    817,202x = 1,260,267 × 1,260,267
  4. Step 4: Simplify right side
    817,202x = 1,588,272,911,289
  5. Step 5: Solve for x
    x = 1,588,272,911,289/817,202
  6. Step 6: Final answer
    x = 1,943,549.96

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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.