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Finding the Third Proportional to 1,355,774.63 and 2,823,909.75

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Solution

The third proportional to 1,355,774.63 and 2,823,909.75 is: 5,881,852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355,774.63 : 2,823,909.75 = 2,823,909.75 : x
  2. Step 2: Convert to fraction form
    1,355,774.63/2,823,909.75 = 2,823,909.75/x
  3. Step 3: Cross multiply
    1,355,774.63x = 2,823,909.75 × 2,823,909.75
  4. Step 4: Simplify right side
    1,355,774.63x = 7,974,466,276,145.06
  5. Step 5: Solve for x
    x = 7,974,466,276,145.06/1,355,774.63
  6. Step 6: Final answer
    x = 5,881,852.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.