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Finding the Third Proportional to 740,297 and 1,607,441

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Solution

The third proportional to 740,297 and 1,607,441 is: 3,490,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,297 : 1,607,441 = 1,607,441 : x
  2. Step 2: Convert to fraction form
    740,297/1,607,441 = 1,607,441/x
  3. Step 3: Cross multiply
    740,297x = 1,607,441 × 1,607,441
  4. Step 4: Simplify right side
    740,297x = 2,583,866,568,481
  5. Step 5: Solve for x
    x = 2,583,866,568,481/740,297
  6. Step 6: Final answer
    x = 3,490,310.74

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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.