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Finding the Third Proportional to 780,316 and 1,677,032

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Solution

The third proportional to 780,316 and 1,677,032 is: 3,604,227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,316 : 1,677,032 = 1,677,032 : x
  2. Step 2: Convert to fraction form
    780,316/1,677,032 = 1,677,032/x
  3. Step 3: Cross multiply
    780,316x = 1,677,032 × 1,677,032
  4. Step 4: Simplify right side
    780,316x = 2,812,436,329,024
  5. Step 5: Solve for x
    x = 2,812,436,329,024/780,316
  6. Step 6: Final answer
    x = 3,604,227.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.