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Finding the Third Proportional to 690,300 and 1,046,142

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Solution

The third proportional to 690,300 and 1,046,142 is: 1,585,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,300 : 1,046,142 = 1,046,142 : x
  2. Step 2: Convert to fraction form
    690,300/1,046,142 = 1,046,142/x
  3. Step 3: Cross multiply
    690,300x = 1,046,142 × 1,046,142
  4. Step 4: Simplify right side
    690,300x = 1,094,413,084,164
  5. Step 5: Solve for x
    x = 1,094,413,084,164/690,300
  6. Step 6: Final answer
    x = 1,585,416.61

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.