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Finding the Third Proportional to 806,106 and 1,759,572

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Solution

The third proportional to 806,106 and 1,759,572 is: 3,840,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,106 : 1,759,572 = 1,759,572 : x
  2. Step 2: Convert to fraction form
    806,106/1,759,572 = 1,759,572/x
  3. Step 3: Cross multiply
    806,106x = 1,759,572 × 1,759,572
  4. Step 4: Simplify right side
    806,106x = 3,096,093,623,184
  5. Step 5: Solve for x
    x = 3,096,093,623,184/806,106
  6. Step 6: Final answer
    x = 3,840,802.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.