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Finding the Third Proportional to 945,871 and 2,075,693

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Solution

The third proportional to 945,871 and 2,075,693 is: 4,555,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,871 : 2,075,693 = 2,075,693 : x
  2. Step 2: Convert to fraction form
    945,871/2,075,693 = 2,075,693/x
  3. Step 3: Cross multiply
    945,871x = 2,075,693 × 2,075,693
  4. Step 4: Simplify right side
    945,871x = 4,308,501,430,249
  5. Step 5: Solve for x
    x = 4,308,501,430,249/945,871
  6. Step 6: Final answer
    x = 4,555,062.40

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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.