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Finding the Third Proportional to 712,806 and 942,201

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Solution

The third proportional to 712,806 and 942,201 is: 1,245,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,806 : 942,201 = 942,201 : x
  2. Step 2: Convert to fraction form
    712,806/942,201 = 942,201/x
  3. Step 3: Cross multiply
    712,806x = 942,201 × 942,201
  4. Step 4: Simplify right side
    712,806x = 887,742,724,401
  5. Step 5: Solve for x
    x = 887,742,724,401/712,806
  6. Step 6: Final answer
    x = 1,245,419.83

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.