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Finding the Third Proportional to 945,875 and 2,075,710

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Solution

The third proportional to 945,875 and 2,075,710 is: 4,555,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,875 : 2,075,710 = 2,075,710 : x
  2. Step 2: Convert to fraction form
    945,875/2,075,710 = 2,075,710/x
  3. Step 3: Cross multiply
    945,875x = 2,075,710 × 2,075,710
  4. Step 4: Simplify right side
    945,875x = 4,308,572,004,100
  5. Step 5: Solve for x
    x = 4,308,572,004,100/945,875
  6. Step 6: Final answer
    x = 4,555,117.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.