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Finding the Third Proportional to 2,993,098 and 4,564,377

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Solution

The third proportional to 2,993,098 and 4,564,377 is: 6,960,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993,098 : 4,564,377 = 4,564,377 : x
  2. Step 2: Convert to fraction form
    2,993,098/4,564,377 = 4,564,377/x
  3. Step 3: Cross multiply
    2,993,098x = 4,564,377 × 4,564,377
  4. Step 4: Simplify right side
    2,993,098x = 20,833,537,398,129
  5. Step 5: Solve for x
    x = 20,833,537,398,129/2,993,098
  6. Step 6: Final answer
    x = 6,960,526.32

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