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Finding the Third Proportional to 977,112 and 2,152,998

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Solution

The third proportional to 977,112 and 2,152,998 is: 4,743,980.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,112 : 2,152,998 = 2,152,998 : x
  2. Step 2: Convert to fraction form
    977,112/2,152,998 = 2,152,998/x
  3. Step 3: Cross multiply
    977,112x = 2,152,998 × 2,152,998
  4. Step 4: Simplify right side
    977,112x = 4,635,400,388,004
  5. Step 5: Solve for x
    x = 4,635,400,388,004/977,112
  6. Step 6: Final answer
    x = 4,743,980.62

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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.