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Finding the Third Proportional to 1,426,430 and 3,077,564

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Solution

The third proportional to 1,426,430 and 3,077,564 is: 6,639,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,430 : 3,077,564 = 3,077,564 : x
  2. Step 2: Convert to fraction form
    1,426,430/3,077,564 = 3,077,564/x
  3. Step 3: Cross multiply
    1,426,430x = 3,077,564 × 3,077,564
  4. Step 4: Simplify right side
    1,426,430x = 9,471,400,174,096
  5. Step 5: Solve for x
    x = 9,471,400,174,096/1,426,430
  6. Step 6: Final answer
    x = 6,639,933.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.