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Finding the Third Proportional to 2,069,810 and 4,454,380

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Solution

The third proportional to 2,069,810 and 4,454,380 is: 9,586,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069,810 : 4,454,380 = 4,454,380 : x
  2. Step 2: Convert to fraction form
    2,069,810/4,454,380 = 4,454,380/x
  3. Step 3: Cross multiply
    2,069,810x = 4,454,380 × 4,454,380
  4. Step 4: Simplify right side
    2,069,810x = 19,841,501,184,400
  5. Step 5: Solve for x
    x = 19,841,501,184,400/2,069,810
  6. Step 6: Final answer
    x = 9,586,146.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.