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Finding the Third Proportional to 754,398 and 1,616,658

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Solution

The third proportional to 754,398 and 1,616,658 is: 3,464,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,398 : 1,616,658 = 1,616,658 : x
  2. Step 2: Convert to fraction form
    754,398/1,616,658 = 1,616,658/x
  3. Step 3: Cross multiply
    754,398x = 1,616,658 × 1,616,658
  4. Step 4: Simplify right side
    754,398x = 2,613,583,088,964
  5. Step 5: Solve for x
    x = 2,613,583,088,964/754,398
  6. Step 6: Final answer
    x = 3,464,461.85

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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.