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Finding the Third Proportional to 1,334,109 and 2,917,335

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Solution

The third proportional to 1,334,109 and 2,917,335 is: 6,379,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334,109 : 2,917,335 = 2,917,335 : x
  2. Step 2: Convert to fraction form
    1,334,109/2,917,335 = 2,917,335/x
  3. Step 3: Cross multiply
    1,334,109x = 2,917,335 × 2,917,335
  4. Step 4: Simplify right side
    1,334,109x = 8,510,843,502,225
  5. Step 5: Solve for x
    x = 8,510,843,502,225/1,334,109
  6. Step 6: Final answer
    x = 6,379,421.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.