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Finding the Third Proportional to 495,898 and 1,074,200

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Solution

The third proportional to 495,898 and 1,074,200 is: 2,326,901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,898 : 1,074,200 = 1,074,200 : x
  2. Step 2: Convert to fraction form
    495,898/1,074,200 = 1,074,200/x
  3. Step 3: Cross multiply
    495,898x = 1,074,200 × 1,074,200
  4. Step 4: Simplify right side
    495,898x = 1,153,905,640,000
  5. Step 5: Solve for x
    x = 1,153,905,640,000/495,898
  6. Step 6: Final answer
    x = 2,326,901.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.