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Finding the Third Proportional to 740,262 and 1,607,367

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Solution

The third proportional to 740,262 and 1,607,367 is: 3,490,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,262 : 1,607,367 = 1,607,367 : x
  2. Step 2: Convert to fraction form
    740,262/1,607,367 = 1,607,367/x
  3. Step 3: Cross multiply
    740,262x = 1,607,367 × 1,607,367
  4. Step 4: Simplify right side
    740,262x = 2,583,628,672,689
  5. Step 5: Solve for x
    x = 2,583,628,672,689/740,262
  6. Step 6: Final answer
    x = 3,490,154.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.