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Finding the Third Proportional to 793,414 and 1,208,709

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Solution

The third proportional to 793,414 and 1,208,709 is: 1,841,380.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,414 : 1,208,709 = 1,208,709 : x
  2. Step 2: Convert to fraction form
    793,414/1,208,709 = 1,208,709/x
  3. Step 3: Cross multiply
    793,414x = 1,208,709 × 1,208,709
  4. Step 4: Simplify right side
    793,414x = 1,460,977,446,681
  5. Step 5: Solve for x
    x = 1,460,977,446,681/793,414
  6. Step 6: Final answer
    x = 1,841,380.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.