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Finding the Third Proportional to 2,020,634 and 4,290,342

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Solution

The third proportional to 2,020,634 and 4,290,342 is: 9,109,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020,634 : 4,290,342 = 4,290,342 : x
  2. Step 2: Convert to fraction form
    2,020,634/4,290,342 = 4,290,342/x
  3. Step 3: Cross multiply
    2,020,634x = 4,290,342 × 4,290,342
  4. Step 4: Simplify right side
    2,020,634x = 18,407,034,476,964
  5. Step 5: Solve for x
    x = 18,407,034,476,964/2,020,634
  6. Step 6: Final answer
    x = 9,109,534.17

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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.