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Finding the Third Proportional to 773,030 and 1,683,294

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Solution

The third proportional to 773,030 and 1,683,294 is: 3,665,418.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,030 : 1,683,294 = 1,683,294 : x
  2. Step 2: Convert to fraction form
    773,030/1,683,294 = 1,683,294/x
  3. Step 3: Cross multiply
    773,030x = 1,683,294 × 1,683,294
  4. Step 4: Simplify right side
    773,030x = 2,833,478,690,436
  5. Step 5: Solve for x
    x = 2,833,478,690,436/773,030
  6. Step 6: Final answer
    x = 3,665,418.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.