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Finding the Third Proportional to 4,109,738 and 6,545,129

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Solution

The third proportional to 4,109,738 and 6,545,129 is: 10,423,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109,738 : 6,545,129 = 6,545,129 : x
  2. Step 2: Convert to fraction form
    4,109,738/6,545,129 = 6,545,129/x
  3. Step 3: Cross multiply
    4,109,738x = 6,545,129 × 6,545,129
  4. Step 4: Simplify right side
    4,109,738x = 42,838,713,626,641
  5. Step 5: Solve for x
    x = 42,838,713,626,641/4,109,738
  6. Step 6: Final answer
    x = 10,423,709.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.