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Finding the Third Proportional to 421,707 and 918,291

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Solution

The third proportional to 421,707 and 918,291 is: 1,999,630.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,707 : 918,291 = 918,291 : x
  2. Step 2: Convert to fraction form
    421,707/918,291 = 918,291/x
  3. Step 3: Cross multiply
    421,707x = 918,291 × 918,291
  4. Step 4: Simplify right side
    421,707x = 843,258,360,681
  5. Step 5: Solve for x
    x = 843,258,360,681/421,707
  6. Step 6: Final answer
    x = 1,999,630.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.