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Finding the Third Proportional to 1,302,485 and 2,777,014

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Solution

The third proportional to 1,302,485 and 2,777,014 is: 5,920,841.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,485 : 2,777,014 = 2,777,014 : x
  2. Step 2: Convert to fraction form
    1,302,485/2,777,014 = 2,777,014/x
  3. Step 3: Cross multiply
    1,302,485x = 2,777,014 × 2,777,014
  4. Step 4: Simplify right side
    1,302,485x = 7,711,806,756,196
  5. Step 5: Solve for x
    x = 7,711,806,756,196/1,302,485
  6. Step 6: Final answer
    x = 5,920,841.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.