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Finding the Third Proportional to 611,577 and 933,342

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Solution

The third proportional to 611,577 and 933,342 is: 1,424,395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,577 : 933,342 = 933,342 : x
  2. Step 2: Convert to fraction form
    611,577/933,342 = 933,342/x
  3. Step 3: Cross multiply
    611,577x = 933,342 × 933,342
  4. Step 4: Simplify right side
    611,577x = 871,127,288,964
  5. Step 5: Solve for x
    x = 871,127,288,964/611,577
  6. Step 6: Final answer
    x = 1,424,395.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.