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Finding the Third Proportional to 973,106 and 2,090,143

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Solution

The third proportional to 973,106 and 2,090,143 is: 4,489,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,106 : 2,090,143 = 2,090,143 : x
  2. Step 2: Convert to fraction form
    973,106/2,090,143 = 2,090,143/x
  3. Step 3: Cross multiply
    973,106x = 2,090,143 × 2,090,143
  4. Step 4: Simplify right side
    973,106x = 4,368,697,760,449
  5. Step 5: Solve for x
    x = 4,368,697,760,449/973,106
  6. Step 6: Final answer
    x = 4,489,436.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.