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Finding the Third Proportional to 946,413 and 2,064,118

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Solution

The third proportional to 946,413 and 2,064,118 is: 4,501,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,413 : 2,064,118 = 2,064,118 : x
  2. Step 2: Convert to fraction form
    946,413/2,064,118 = 2,064,118/x
  3. Step 3: Cross multiply
    946,413x = 2,064,118 × 2,064,118
  4. Step 4: Simplify right side
    946,413x = 4,260,583,117,924
  5. Step 5: Solve for x
    x = 4,260,583,117,924/946,413
  6. Step 6: Final answer
    x = 4,501,822.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.