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Finding the Third Proportional to 612,932 and 1,299,582

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Solution

The third proportional to 612,932 and 1,299,582 is: 2,755,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,932 : 1,299,582 = 1,299,582 : x
  2. Step 2: Convert to fraction form
    612,932/1,299,582 = 1,299,582/x
  3. Step 3: Cross multiply
    612,932x = 1,299,582 × 1,299,582
  4. Step 4: Simplify right side
    612,932x = 1,688,913,374,724
  5. Step 5: Solve for x
    x = 1,688,913,374,724/612,932
  6. Step 6: Final answer
    x = 2,755,466.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.