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Finding the Third Proportional to 658,305 and 1,416,510

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Solution

The third proportional to 658,305 and 1,416,510 is: 3,047,980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,305 : 1,416,510 = 1,416,510 : x
  2. Step 2: Convert to fraction form
    658,305/1,416,510 = 1,416,510/x
  3. Step 3: Cross multiply
    658,305x = 1,416,510 × 1,416,510
  4. Step 4: Simplify right side
    658,305x = 2,006,500,580,100
  5. Step 5: Solve for x
    x = 2,006,500,580,100/658,305
  6. Step 6: Final answer
    x = 3,047,980.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.