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Finding the Third Proportional to 560,765 and 1,230,097

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Solution

The third proportional to 560,765 and 1,230,097 is: 2,698,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,765 : 1,230,097 = 1,230,097 : x
  2. Step 2: Convert to fraction form
    560,765/1,230,097 = 1,230,097/x
  3. Step 3: Cross multiply
    560,765x = 1,230,097 × 1,230,097
  4. Step 4: Simplify right side
    560,765x = 1,513,138,629,409
  5. Step 5: Solve for x
    x = 1,513,138,629,409/560,765
  6. Step 6: Final answer
    x = 2,698,347.13

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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.