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Finding the Third Proportional to 527,946 and 1,155,666

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Solution

The third proportional to 527,946 and 1,155,666 is: 2,529,735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,946 : 1,155,666 = 1,155,666 : x
  2. Step 2: Convert to fraction form
    527,946/1,155,666 = 1,155,666/x
  3. Step 3: Cross multiply
    527,946x = 1,155,666 × 1,155,666
  4. Step 4: Simplify right side
    527,946x = 1,335,563,903,556
  5. Step 5: Solve for x
    x = 1,335,563,903,556/527,946
  6. Step 6: Final answer
    x = 2,529,735.81

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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.