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Finding the Third Proportional to 2,843,824 and 4,360,746

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Solution

The third proportional to 2,843,824 and 4,360,746 is: 6,686,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843,824 : 4,360,746 = 4,360,746 : x
  2. Step 2: Convert to fraction form
    2,843,824/4,360,746 = 4,360,746/x
  3. Step 3: Cross multiply
    2,843,824x = 4,360,746 × 4,360,746
  4. Step 4: Simplify right side
    2,843,824x = 19,016,105,676,516
  5. Step 5: Solve for x
    x = 19,016,105,676,516/2,843,824
  6. Step 6: Final answer
    x = 6,686,808.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.