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Finding the Third Proportional to 807,346 and 1,903,140

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Solution

The third proportional to 807,346 and 1,903,140 is: 4,486,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,346 : 1,903,140 = 1,903,140 : x
  2. Step 2: Convert to fraction form
    807,346/1,903,140 = 1,903,140/x
  3. Step 3: Cross multiply
    807,346x = 1,903,140 × 1,903,140
  4. Step 4: Simplify right side
    807,346x = 3,621,941,859,600
  5. Step 5: Solve for x
    x = 3,621,941,859,600/807,346
  6. Step 6: Final answer
    x = 4,486,232.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.