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Finding the Third Proportional to 1,565,018 and 3,430,060

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Solution

The third proportional to 1,565,018 and 3,430,060 is: 7,517,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565,018 : 3,430,060 = 3,430,060 : x
  2. Step 2: Convert to fraction form
    1,565,018/3,430,060 = 3,430,060/x
  3. Step 3: Cross multiply
    1,565,018x = 3,430,060 × 3,430,060
  4. Step 4: Simplify right side
    1,565,018x = 11,765,311,603,600
  5. Step 5: Solve for x
    x = 11,765,311,603,600/1,565,018
  6. Step 6: Final answer
    x = 7,517,684.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.