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Finding the Third Proportional to 735,410 and 1,588,987

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Solution

The third proportional to 735,410 and 1,588,987 is: 3,433,295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,410 : 1,588,987 = 1,588,987 : x
  2. Step 2: Convert to fraction form
    735,410/1,588,987 = 1,588,987/x
  3. Step 3: Cross multiply
    735,410x = 1,588,987 × 1,588,987
  4. Step 4: Simplify right side
    735,410x = 2,524,879,686,169
  5. Step 5: Solve for x
    x = 2,524,879,686,169/735,410
  6. Step 6: Final answer
    x = 3,433,295.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.