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Finding the Third Proportional to 5,841,294 and 8,713,341

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Solution

The third proportional to 5,841,294 and 8,713,341 is: 12,997,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841,294 : 8,713,341 = 8,713,341 : x
  2. Step 2: Convert to fraction form
    5,841,294/8,713,341 = 8,713,341/x
  3. Step 3: Cross multiply
    5,841,294x = 8,713,341 × 8,713,341
  4. Step 4: Simplify right side
    5,841,294x = 75,922,311,382,281
  5. Step 5: Solve for x
    x = 75,922,311,382,281/5,841,294
  6. Step 6: Final answer
    x = 12,997,515.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.