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Finding the Third Proportional to 2,374,071.75 and 4,832,047

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Solution

The third proportional to 2,374,071.75 and 4,832,047 is: 9,834,866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374,071.75 : 4,832,047 = 4,832,047 : x
  2. Step 2: Convert to fraction form
    2,374,071.75/4,832,047 = 4,832,047/x
  3. Step 3: Cross multiply
    2,374,071.75x = 4,832,047 × 4,832,047
  4. Step 4: Simplify right side
    2,374,071.75x = 23,348,678,210,209
  5. Step 5: Solve for x
    x = 23,348,678,210,209/2,374,071.75
  6. Step 6: Final answer
    x = 9,834,866.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.