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Finding the Third Proportional to 977,058 and 2,152,896

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Solution

The third proportional to 977,058 and 2,152,896 is: 4,743,793.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,058 : 2,152,896 = 2,152,896 : x
  2. Step 2: Convert to fraction form
    977,058/2,152,896 = 2,152,896/x
  3. Step 3: Cross multiply
    977,058x = 2,152,896 × 2,152,896
  4. Step 4: Simplify right side
    977,058x = 4,634,961,186,816
  5. Step 5: Solve for x
    x = 4,634,961,186,816/977,058
  6. Step 6: Final answer
    x = 4,743,793.29

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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.