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Finding the Third Proportional to 1,430,076 and 2,959,136

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Solution

The third proportional to 1,430,076 and 2,959,136 is: 6,123,091.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,076 : 2,959,136 = 2,959,136 : x
  2. Step 2: Convert to fraction form
    1,430,076/2,959,136 = 2,959,136/x
  3. Step 3: Cross multiply
    1,430,076x = 2,959,136 × 2,959,136
  4. Step 4: Simplify right side
    1,430,076x = 8,756,485,866,496
  5. Step 5: Solve for x
    x = 8,756,485,866,496/1,430,076
  6. Step 6: Final answer
    x = 6,123,091.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.