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Finding the Third Proportional to 2,977,829 and 4,454,850

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Solution

The third proportional to 2,977,829 and 4,454,850 is: 6,664,482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977,829 : 4,454,850 = 4,454,850 : x
  2. Step 2: Convert to fraction form
    2,977,829/4,454,850 = 4,454,850/x
  3. Step 3: Cross multiply
    2,977,829x = 4,454,850 × 4,454,850
  4. Step 4: Simplify right side
    2,977,829x = 19,845,688,522,500
  5. Step 5: Solve for x
    x = 19,845,688,522,500/2,977,829
  6. Step 6: Final answer
    x = 6,664,482.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.