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Finding the Third Proportional to 1,828,656 and 4,205,664

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Solution

The third proportional to 1,828,656 and 4,205,664 is: 9,672,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,656 : 4,205,664 = 4,205,664 : x
  2. Step 2: Convert to fraction form
    1,828,656/4,205,664 = 4,205,664/x
  3. Step 3: Cross multiply
    1,828,656x = 4,205,664 × 4,205,664
  4. Step 4: Simplify right side
    1,828,656x = 17,687,609,680,896
  5. Step 5: Solve for x
    x = 17,687,609,680,896/1,828,656
  6. Step 6: Final answer
    x = 9,672,464.19

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.