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Finding the Third Proportional to 1,868,647.50 and 2,885,784

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Solution

The third proportional to 1,868,647.50 and 2,885,784 is: 4,456,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868,647.50 : 2,885,784 = 2,885,784 : x
  2. Step 2: Convert to fraction form
    1,868,647.50/2,885,784 = 2,885,784/x
  3. Step 3: Cross multiply
    1,868,647.50x = 2,885,784 × 2,885,784
  4. Step 4: Simplify right side
    1,868,647.50x = 8,327,749,294,656
  5. Step 5: Solve for x
    x = 8,327,749,294,656/1,868,647.50
  6. Step 6: Final answer
    x = 4,456,565.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.