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Finding the Third Proportional to 2,908,140.75 and 4,075,219.13

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Solution

The third proportional to 2,908,140.75 and 4,075,219.13 is: 5,710,662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908,140.75 : 4,075,219.13 = 4,075,219.13 : x
  2. Step 2: Convert to fraction form
    2,908,140.75/4,075,219.13 = 4,075,219.13/x
  3. Step 3: Cross multiply
    2,908,140.75x = 4,075,219.13 × 4,075,219.13
  4. Step 4: Simplify right side
    2,908,140.75x = 16,607,410,916,765.77
  5. Step 5: Solve for x
    x = 16,607,410,916,765.77/2,908,140.75
  6. Step 6: Final answer
    x = 5,710,662.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.