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Finding the Third Proportional to 489,541 and 1,063,145

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Solution

The third proportional to 489,541 and 1,063,145 is: 2,308,851.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,541 : 1,063,145 = 1,063,145 : x
  2. Step 2: Convert to fraction form
    489,541/1,063,145 = 1,063,145/x
  3. Step 3: Cross multiply
    489,541x = 1,063,145 × 1,063,145
  4. Step 4: Simplify right side
    489,541x = 1,130,277,291,025
  5. Step 5: Solve for x
    x = 1,130,277,291,025/489,541
  6. Step 6: Final answer
    x = 2,308,851.13

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Why These Related Problems?

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