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Finding the Third Proportional to 1,035,475 and 1,569,251

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Solution

The third proportional to 1,035,475 and 1,569,251 is: 2,378,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,475 : 1,569,251 = 1,569,251 : x
  2. Step 2: Convert to fraction form
    1,035,475/1,569,251 = 1,569,251/x
  3. Step 3: Cross multiply
    1,035,475x = 1,569,251 × 1,569,251
  4. Step 4: Simplify right side
    1,035,475x = 2,462,548,701,001
  5. Step 5: Solve for x
    x = 2,462,548,701,001/1,035,475
  6. Step 6: Final answer
    x = 2,378,182.67

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