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Finding the Third Proportional to 2,405,070 and 3,868,263

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Solution

The third proportional to 2,405,070 and 3,868,263 is: 6,221,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405,070 : 3,868,263 = 3,868,263 : x
  2. Step 2: Convert to fraction form
    2,405,070/3,868,263 = 3,868,263/x
  3. Step 3: Cross multiply
    2,405,070x = 3,868,263 × 3,868,263
  4. Step 4: Simplify right side
    2,405,070x = 14,963,458,637,169
  5. Step 5: Solve for x
    x = 14,963,458,637,169/2,405,070
  6. Step 6: Final answer
    x = 6,221,631.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.