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Finding the Third Proportional to 2,073,342 and 4,312,206

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Solution

The third proportional to 2,073,342 and 4,312,206 is: 8,968,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073,342 : 4,312,206 = 4,312,206 : x
  2. Step 2: Convert to fraction form
    2,073,342/4,312,206 = 4,312,206/x
  3. Step 3: Cross multiply
    2,073,342x = 4,312,206 × 4,312,206
  4. Step 4: Simplify right side
    2,073,342x = 18,595,120,586,436
  5. Step 5: Solve for x
    x = 18,595,120,586,436/2,073,342
  6. Step 6: Final answer
    x = 8,968,670.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.