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Finding the Third Proportional to 472,577 and 1,037,013

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Solution

The third proportional to 472,577 and 1,037,013 is: 2,275,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,577 : 1,037,013 = 1,037,013 : x
  2. Step 2: Convert to fraction form
    472,577/1,037,013 = 1,037,013/x
  3. Step 3: Cross multiply
    472,577x = 1,037,013 × 1,037,013
  4. Step 4: Simplify right side
    472,577x = 1,075,395,962,169
  5. Step 5: Solve for x
    x = 1,075,395,962,169/472,577
  6. Step 6: Final answer
    x = 2,275,599.45

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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.