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Finding the Third Proportional to 1,986,246 and 4,210,824

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Solution

The third proportional to 1,986,246 and 4,210,824 is: 8,926,909.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986,246 : 4,210,824 = 4,210,824 : x
  2. Step 2: Convert to fraction form
    1,986,246/4,210,824 = 4,210,824/x
  3. Step 3: Cross multiply
    1,986,246x = 4,210,824 × 4,210,824
  4. Step 4: Simplify right side
    1,986,246x = 17,731,038,758,976
  5. Step 5: Solve for x
    x = 17,731,038,758,976/1,986,246
  6. Step 6: Final answer
    x = 8,926,909.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.