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Finding the Third Proportional to 1,292,290 and 2,649,060

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Solution

The third proportional to 1,292,290 and 2,649,060 is: 5,430,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,290 : 2,649,060 = 2,649,060 : x
  2. Step 2: Convert to fraction form
    1,292,290/2,649,060 = 2,649,060/x
  3. Step 3: Cross multiply
    1,292,290x = 2,649,060 × 2,649,060
  4. Step 4: Simplify right side
    1,292,290x = 7,017,518,883,600
  5. Step 5: Solve for x
    x = 7,017,518,883,600/1,292,290
  6. Step 6: Final answer
    x = 5,430,297.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.