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Finding the Third Proportional to 1,020,086 and 1,574,019

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Solution

The third proportional to 1,020,086 and 1,574,019 is: 2,428,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,086 : 1,574,019 = 1,574,019 : x
  2. Step 2: Convert to fraction form
    1,020,086/1,574,019 = 1,574,019/x
  3. Step 3: Cross multiply
    1,020,086x = 1,574,019 × 1,574,019
  4. Step 4: Simplify right side
    1,020,086x = 2,477,535,812,361
  5. Step 5: Solve for x
    x = 2,477,535,812,361/1,020,086
  6. Step 6: Final answer
    x = 2,428,751.90

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.