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Finding the Third Proportional to 691,936 and 1,497,596

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Solution

The third proportional to 691,936 and 1,497,596 is: 3,241,331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,936 : 1,497,596 = 1,497,596 : x
  2. Step 2: Convert to fraction form
    691,936/1,497,596 = 1,497,596/x
  3. Step 3: Cross multiply
    691,936x = 1,497,596 × 1,497,596
  4. Step 4: Simplify right side
    691,936x = 2,242,793,779,216
  5. Step 5: Solve for x
    x = 2,242,793,779,216/691,936
  6. Step 6: Final answer
    x = 3,241,331.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.