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Finding the Third Proportional to 698,723 and 1,497,058

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Solution

The third proportional to 698,723 and 1,497,058 is: 3,207,540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,723 : 1,497,058 = 1,497,058 : x
  2. Step 2: Convert to fraction form
    698,723/1,497,058 = 1,497,058/x
  3. Step 3: Cross multiply
    698,723x = 1,497,058 × 1,497,058
  4. Step 4: Simplify right side
    698,723x = 2,241,182,655,364
  5. Step 5: Solve for x
    x = 2,241,182,655,364/698,723
  6. Step 6: Final answer
    x = 3,207,540.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.