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Finding the Third Proportional to 2,160,614 and 4,710,004

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Solution

The third proportional to 2,160,614 and 4,710,004 is: 10,267,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,614 : 4,710,004 = 4,710,004 : x
  2. Step 2: Convert to fraction form
    2,160,614/4,710,004 = 4,710,004/x
  3. Step 3: Cross multiply
    2,160,614x = 4,710,004 × 4,710,004
  4. Step 4: Simplify right side
    2,160,614x = 22,184,137,680,016
  5. Step 5: Solve for x
    x = 22,184,137,680,016/2,160,614
  6. Step 6: Final answer
    x = 10,267,515.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.