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Finding the Third Proportional to 705,130 and 1,074,226

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Solution

The third proportional to 705,130 and 1,074,226 is: 1,636,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,130 : 1,074,226 = 1,074,226 : x
  2. Step 2: Convert to fraction form
    705,130/1,074,226 = 1,074,226/x
  3. Step 3: Cross multiply
    705,130x = 1,074,226 × 1,074,226
  4. Step 4: Simplify right side
    705,130x = 1,153,961,499,076
  5. Step 5: Solve for x
    x = 1,153,961,499,076/705,130
  6. Step 6: Final answer
    x = 1,636,523.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.