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Finding the Third Proportional to 463,565 and 962,658

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Solution

The third proportional to 463,565 and 962,658 is: 1,999,094.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,565 : 962,658 = 962,658 : x
  2. Step 2: Convert to fraction form
    463,565/962,658 = 962,658/x
  3. Step 3: Cross multiply
    463,565x = 962,658 × 962,658
  4. Step 4: Simplify right side
    463,565x = 926,710,424,964
  5. Step 5: Solve for x
    x = 926,710,424,964/463,565
  6. Step 6: Final answer
    x = 1,999,094.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.