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Finding the Third Proportional to 1,407,464 and 3,319,236

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Solution

The third proportional to 1,407,464 and 3,319,236 is: 7,827,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,464 : 3,319,236 = 3,319,236 : x
  2. Step 2: Convert to fraction form
    1,407,464/3,319,236 = 3,319,236/x
  3. Step 3: Cross multiply
    1,407,464x = 3,319,236 × 3,319,236
  4. Step 4: Simplify right side
    1,407,464x = 11,017,327,623,696
  5. Step 5: Solve for x
    x = 11,017,327,623,696/1,407,464
  6. Step 6: Final answer
    x = 7,827,786.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.