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Finding the Third Proportional to 3,386,738 and 4,827,842

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Solution

The third proportional to 3,386,738 and 4,827,842 is: 6,882,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386,738 : 4,827,842 = 4,827,842 : x
  2. Step 2: Convert to fraction form
    3,386,738/4,827,842 = 4,827,842/x
  3. Step 3: Cross multiply
    3,386,738x = 4,827,842 × 4,827,842
  4. Step 4: Simplify right side
    3,386,738x = 23,308,058,376,964
  5. Step 5: Solve for x
    x = 23,308,058,376,964/3,386,738
  6. Step 6: Final answer
    x = 6,882,155.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.