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Finding the Third Proportional to 700,074 and 1,056,525

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Solution

The third proportional to 700,074 and 1,056,525 is: 1,594,467.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,074 : 1,056,525 = 1,056,525 : x
  2. Step 2: Convert to fraction form
    700,074/1,056,525 = 1,056,525/x
  3. Step 3: Cross multiply
    700,074x = 1,056,525 × 1,056,525
  4. Step 4: Simplify right side
    700,074x = 1,116,245,075,625
  5. Step 5: Solve for x
    x = 1,116,245,075,625/700,074
  6. Step 6: Final answer
    x = 1,594,467.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.