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Finding the Third Proportional to 1,685,762 and 3,657,220

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Solution

The third proportional to 1,685,762 and 3,657,220 is: 7,934,250.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,762 : 3,657,220 = 3,657,220 : x
  2. Step 2: Convert to fraction form
    1,685,762/3,657,220 = 3,657,220/x
  3. Step 3: Cross multiply
    1,685,762x = 3,657,220 × 3,657,220
  4. Step 4: Simplify right side
    1,685,762x = 13,375,258,128,400
  5. Step 5: Solve for x
    x = 13,375,258,128,400/1,685,762
  6. Step 6: Final answer
    x = 7,934,250.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.