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Finding the Third Proportional to 4,109,724 and 6,545,106

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Solution

The third proportional to 4,109,724 and 6,545,106 is: 10,423,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109,724 : 6,545,106 = 6,545,106 : x
  2. Step 2: Convert to fraction form
    4,109,724/6,545,106 = 6,545,106/x
  3. Step 3: Cross multiply
    4,109,724x = 6,545,106 × 6,545,106
  4. Step 4: Simplify right side
    4,109,724x = 42,838,412,551,236
  5. Step 5: Solve for x
    x = 42,838,412,551,236/4,109,724
  6. Step 6: Final answer
    x = 10,423,671.41

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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.