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Finding the Third Proportional to 3,830,130 and 5,938,746

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Solution

The third proportional to 3,830,130 and 5,938,746 is: 9,208,226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830,130 : 5,938,746 = 5,938,746 : x
  2. Step 2: Convert to fraction form
    3,830,130/5,938,746 = 5,938,746/x
  3. Step 3: Cross multiply
    3,830,130x = 5,938,746 × 5,938,746
  4. Step 4: Simplify right side
    3,830,130x = 35,268,704,052,516
  5. Step 5: Solve for x
    x = 35,268,704,052,516/3,830,130
  6. Step 6: Final answer
    x = 9,208,226.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.