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Finding the Third Proportional to 702,967 and 1,455,779

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Solution

The third proportional to 702,967 and 1,455,779 is: 3,014,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,967 : 1,455,779 = 1,455,779 : x
  2. Step 2: Convert to fraction form
    702,967/1,455,779 = 1,455,779/x
  3. Step 3: Cross multiply
    702,967x = 1,455,779 × 1,455,779
  4. Step 4: Simplify right side
    702,967x = 2,119,292,496,841
  5. Step 5: Solve for x
    x = 2,119,292,496,841/702,967
  6. Step 6: Final answer
    x = 3,014,782.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.