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Finding the Third Proportional to 2,186,868 and 4,733,160

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Solution

The third proportional to 2,186,868 and 4,733,160 is: 10,244,241.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186,868 : 4,733,160 = 4,733,160 : x
  2. Step 2: Convert to fraction form
    2,186,868/4,733,160 = 4,733,160/x
  3. Step 3: Cross multiply
    2,186,868x = 4,733,160 × 4,733,160
  4. Step 4: Simplify right side
    2,186,868x = 22,402,803,585,600
  5. Step 5: Solve for x
    x = 22,402,803,585,600/2,186,868
  6. Step 6: Final answer
    x = 10,244,241.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.