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Finding the Third Proportional to 2,140,623 and 2,935,371

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Solution

The third proportional to 2,140,623 and 2,935,371 is: 4,025,184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,623 : 2,935,371 = 2,935,371 : x
  2. Step 2: Convert to fraction form
    2,140,623/2,935,371 = 2,935,371/x
  3. Step 3: Cross multiply
    2,140,623x = 2,935,371 × 2,935,371
  4. Step 4: Simplify right side
    2,140,623x = 8,616,402,907,641
  5. Step 5: Solve for x
    x = 8,616,402,907,641/2,140,623
  6. Step 6: Final answer
    x = 4,025,184.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.