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Finding the Third Proportional to 603,444 and 911,319

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Solution

The third proportional to 603,444 and 911,319 is: 1,376,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,444 : 911,319 = 911,319 : x
  2. Step 2: Convert to fraction form
    603,444/911,319 = 911,319/x
  3. Step 3: Cross multiply
    603,444x = 911,319 × 911,319
  4. Step 4: Simplify right side
    603,444x = 830,502,319,761
  5. Step 5: Solve for x
    x = 830,502,319,761/603,444
  6. Step 6: Final answer
    x = 1,376,270.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.