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Finding the Third Proportional to 560,968 and 1,155,013

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Solution

The third proportional to 560,968 and 1,155,013 is: 2,378,130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,968 : 1,155,013 = 1,155,013 : x
  2. Step 2: Convert to fraction form
    560,968/1,155,013 = 1,155,013/x
  3. Step 3: Cross multiply
    560,968x = 1,155,013 × 1,155,013
  4. Step 4: Simplify right side
    560,968x = 1,334,055,030,169
  5. Step 5: Solve for x
    x = 1,334,055,030,169/560,968
  6. Step 6: Final answer
    x = 2,378,130.36

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.