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Finding the Third Proportional to 977,051 and 2,152,883

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Solution

The third proportional to 977,051 and 2,152,883 is: 4,743,769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,051 : 2,152,883 = 2,152,883 : x
  2. Step 2: Convert to fraction form
    977,051/2,152,883 = 2,152,883/x
  3. Step 3: Cross multiply
    977,051x = 2,152,883 × 2,152,883
  4. Step 4: Simplify right side
    977,051x = 4,634,905,211,689
  5. Step 5: Solve for x
    x = 4,634,905,211,689/977,051
  6. Step 6: Final answer
    x = 4,743,769.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.