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Finding the Third Proportional to 1,974,130 and 4,286,516

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Solution

The third proportional to 1,974,130 and 4,286,516 is: 9,307,502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,130 : 4,286,516 = 4,286,516 : x
  2. Step 2: Convert to fraction form
    1,974,130/4,286,516 = 4,286,516/x
  3. Step 3: Cross multiply
    1,974,130x = 4,286,516 × 4,286,516
  4. Step 4: Simplify right side
    1,974,130x = 18,374,219,418,256
  5. Step 5: Solve for x
    x = 18,374,219,418,256/1,974,130
  6. Step 6: Final answer
    x = 9,307,502.25

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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.