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Finding the Third Proportional to 560,426 and 1,160,732

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Solution

The third proportional to 560,426 and 1,160,732 is: 2,404,061.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,426 : 1,160,732 = 1,160,732 : x
  2. Step 2: Convert to fraction form
    560,426/1,160,732 = 1,160,732/x
  3. Step 3: Cross multiply
    560,426x = 1,160,732 × 1,160,732
  4. Step 4: Simplify right side
    560,426x = 1,347,298,775,824
  5. Step 5: Solve for x
    x = 1,347,298,775,824/560,426
  6. Step 6: Final answer
    x = 2,404,061.87

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.