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Finding the Third Proportional to 2,140,320 and 2,934,900

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Solution

The third proportional to 2,140,320 and 2,934,900 is: 4,024,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,320 : 2,934,900 = 2,934,900 : x
  2. Step 2: Convert to fraction form
    2,140,320/2,934,900 = 2,934,900/x
  3. Step 3: Cross multiply
    2,140,320x = 2,934,900 × 2,934,900
  4. Step 4: Simplify right side
    2,140,320x = 8,613,638,010,000
  5. Step 5: Solve for x
    x = 8,613,638,010,000/2,140,320
  6. Step 6: Final answer
    x = 4,024,462.70

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