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Finding the Third Proportional to 658,565 and 1,437,658

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Solution

The third proportional to 658,565 and 1,437,658 is: 3,138,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,565 : 1,437,658 = 1,437,658 : x
  2. Step 2: Convert to fraction form
    658,565/1,437,658 = 1,437,658/x
  3. Step 3: Cross multiply
    658,565x = 1,437,658 × 1,437,658
  4. Step 4: Simplify right side
    658,565x = 2,066,860,524,964
  5. Step 5: Solve for x
    x = 2,066,860,524,964/658,565
  6. Step 6: Final answer
    x = 3,138,430.56

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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.