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Finding the Third Proportional to 369,246 and 869,346

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Solution

The third proportional to 369,246 and 869,346 is: 2,046,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,246 : 869,346 = 869,346 : x
  2. Step 2: Convert to fraction form
    369,246/869,346 = 869,346/x
  3. Step 3: Cross multiply
    369,246x = 869,346 × 869,346
  4. Step 4: Simplify right side
    369,246x = 755,762,467,716
  5. Step 5: Solve for x
    x = 755,762,467,716/369,246
  6. Step 6: Final answer
    x = 2,046,772.25

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.