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Finding the Third Proportional to 1,030,078.69 and 1,569,106.69

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Solution

The third proportional to 1,030,078.69 and 1,569,106.69 is: 2,390,201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,078.69 : 1,569,106.69 = 1,569,106.69 : x
  2. Step 2: Convert to fraction form
    1,030,078.69/1,569,106.69 = 1,569,106.69/x
  3. Step 3: Cross multiply
    1,030,078.69x = 1,569,106.69 × 1,569,106.69
  4. Step 4: Simplify right side
    1,030,078.69x = 2,462,095,796,757.22
  5. Step 5: Solve for x
    x = 2,462,095,796,757.22/1,030,078.69
  6. Step 6: Final answer
    x = 2,390,201.67

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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.