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Finding the Third Proportional to 560,757 and 1,230,078

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Solution

The third proportional to 560,757 and 1,230,078 is: 2,698,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,757 : 1,230,078 = 1,230,078 : x
  2. Step 2: Convert to fraction form
    560,757/1,230,078 = 1,230,078/x
  3. Step 3: Cross multiply
    560,757x = 1,230,078 × 1,230,078
  4. Step 4: Simplify right side
    560,757x = 1,513,091,886,084
  5. Step 5: Solve for x
    x = 1,513,091,886,084/560,757
  6. Step 6: Final answer
    x = 2,698,302.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.