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Finding the Third Proportional to 1,705,868 and 3,621,688

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Solution

The third proportional to 1,705,868 and 3,621,688 is: 7,689,120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,868 : 3,621,688 = 3,621,688 : x
  2. Step 2: Convert to fraction form
    1,705,868/3,621,688 = 3,621,688/x
  3. Step 3: Cross multiply
    1,705,868x = 3,621,688 × 3,621,688
  4. Step 4: Simplify right side
    1,705,868x = 13,116,623,969,344
  5. Step 5: Solve for x
    x = 13,116,623,969,344/1,705,868
  6. Step 6: Final answer
    x = 7,689,120.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.