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Finding the Third Proportional to 784,130 and 1,701,028

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Solution

The third proportional to 784,130 and 1,701,028 is: 3,690,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,130 : 1,701,028 = 1,701,028 : x
  2. Step 2: Convert to fraction form
    784,130/1,701,028 = 1,701,028/x
  3. Step 3: Cross multiply
    784,130x = 1,701,028 × 1,701,028
  4. Step 4: Simplify right side
    784,130x = 2,893,496,256,784
  5. Step 5: Solve for x
    x = 2,893,496,256,784/784,130
  6. Step 6: Final answer
    x = 3,690,072.13

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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.