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Finding the Third Proportional to 935,924 and 1,507,254

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Solution

The third proportional to 935,924 and 1,507,254 is: 2,427,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,924 : 1,507,254 = 1,507,254 : x
  2. Step 2: Convert to fraction form
    935,924/1,507,254 = 1,507,254/x
  3. Step 3: Cross multiply
    935,924x = 1,507,254 × 1,507,254
  4. Step 4: Simplify right side
    935,924x = 2,271,814,620,516
  5. Step 5: Solve for x
    x = 2,271,814,620,516/935,924
  6. Step 6: Final answer
    x = 2,427,349.46

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.