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Finding the Third Proportional to 1,165,309 and 1,574,433

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Solution

The third proportional to 1,165,309 and 1,574,433 is: 2,127,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,309 : 1,574,433 = 1,574,433 : x
  2. Step 2: Convert to fraction form
    1,165,309/1,574,433 = 1,574,433/x
  3. Step 3: Cross multiply
    1,165,309x = 1,574,433 × 1,574,433
  4. Step 4: Simplify right side
    1,165,309x = 2,478,839,271,489
  5. Step 5: Solve for x
    x = 2,478,839,271,489/1,165,309
  6. Step 6: Final answer
    x = 2,127,194.82

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.