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Finding the Third Proportional to 867,824 and 1,868,853

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Solution

The third proportional to 867,824 and 1,868,853 is: 4,024,562.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,824 : 1,868,853 = 1,868,853 : x
  2. Step 2: Convert to fraction form
    867,824/1,868,853 = 1,868,853/x
  3. Step 3: Cross multiply
    867,824x = 1,868,853 × 1,868,853
  4. Step 4: Simplify right side
    867,824x = 3,492,611,535,609
  5. Step 5: Solve for x
    x = 3,492,611,535,609/867,824
  6. Step 6: Final answer
    x = 4,024,562.05

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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.