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Finding the Third Proportional to 702,965 and 1,455,774

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Solution

The third proportional to 702,965 and 1,455,774 is: 3,014,770.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,965 : 1,455,774 = 1,455,774 : x
  2. Step 2: Convert to fraction form
    702,965/1,455,774 = 1,455,774/x
  3. Step 3: Cross multiply
    702,965x = 1,455,774 × 1,455,774
  4. Step 4: Simplify right side
    702,965x = 2,119,277,939,076
  5. Step 5: Solve for x
    x = 2,119,277,939,076/702,965
  6. Step 6: Final answer
    x = 3,014,770.21

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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.