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Finding the Third Proportional to 683,588 and 1,496,047

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Solution

The third proportional to 683,588 and 1,496,047 is: 3,274,130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,588 : 1,496,047 = 1,496,047 : x
  2. Step 2: Convert to fraction form
    683,588/1,496,047 = 1,496,047/x
  3. Step 3: Cross multiply
    683,588x = 1,496,047 × 1,496,047
  4. Step 4: Simplify right side
    683,588x = 2,238,156,626,209
  5. Step 5: Solve for x
    x = 2,238,156,626,209/683,588
  6. Step 6: Final answer
    x = 3,274,130.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.