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Finding the Third Proportional to 670,577 and 1,437,032

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Solution

The third proportional to 670,577 and 1,437,032 is: 3,079,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,577 : 1,437,032 = 1,437,032 : x
  2. Step 2: Convert to fraction form
    670,577/1,437,032 = 1,437,032/x
  3. Step 3: Cross multiply
    670,577x = 1,437,032 × 1,437,032
  4. Step 4: Simplify right side
    670,577x = 2,065,060,969,024
  5. Step 5: Solve for x
    x = 2,065,060,969,024/670,577
  6. Step 6: Final answer
    x = 3,079,528.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.