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Finding the Third Proportional to 1,362,159 and 2,865,478.50

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Solution

The third proportional to 1,362,159 and 2,865,478.50 is: 6,027,906.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362,159 : 2,865,478.50 = 2,865,478.50 : x
  2. Step 2: Convert to fraction form
    1,362,159/2,865,478.50 = 2,865,478.50/x
  3. Step 3: Cross multiply
    1,362,159x = 2,865,478.50 × 2,865,478.50
  4. Step 4: Simplify right side
    1,362,159x = 8,210,967,033,962.25
  5. Step 5: Solve for x
    x = 8,210,967,033,962.25/1,362,159
  6. Step 6: Final answer
    x = 6,027,906.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.