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Finding the Third Proportional to 2,241,569 and 3,502,335

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Solution

The third proportional to 2,241,569 and 3,502,335 is: 5,472,216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241,569 : 3,502,335 = 3,502,335 : x
  2. Step 2: Convert to fraction form
    2,241,569/3,502,335 = 3,502,335/x
  3. Step 3: Cross multiply
    2,241,569x = 3,502,335 × 3,502,335
  4. Step 4: Simplify right side
    2,241,569x = 12,266,350,452,225
  5. Step 5: Solve for x
    x = 12,266,350,452,225/2,241,569
  6. Step 6: Final answer
    x = 5,472,216.31

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.