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Finding the Third Proportional to 977,022 and 2,121,153

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Solution

The third proportional to 977,022 and 2,121,153 is: 4,605,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,022 : 2,121,153 = 2,121,153 : x
  2. Step 2: Convert to fraction form
    977,022/2,121,153 = 2,121,153/x
  3. Step 3: Cross multiply
    977,022x = 2,121,153 × 2,121,153
  4. Step 4: Simplify right side
    977,022x = 4,499,290,049,409
  5. Step 5: Solve for x
    x = 4,499,290,049,409/977,022
  6. Step 6: Final answer
    x = 4,605,106.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.