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Finding the Third Proportional to 2,009,913 and 4,334,943

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Solution

The third proportional to 2,009,913 and 4,334,943 is: 9,349,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009,913 : 4,334,943 = 4,334,943 : x
  2. Step 2: Convert to fraction form
    2,009,913/4,334,943 = 4,334,943/x
  3. Step 3: Cross multiply
    2,009,913x = 4,334,943 × 4,334,943
  4. Step 4: Simplify right side
    2,009,913x = 18,791,730,813,249
  5. Step 5: Solve for x
    x = 18,791,730,813,249/2,009,913
  6. Step 6: Final answer
    x = 9,349,524.49

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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.