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Finding the Third Proportional to 754,311 and 1,648,590

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Solution

The third proportional to 754,311 and 1,648,590 is: 3,603,088.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,311 : 1,648,590 = 1,648,590 : x
  2. Step 2: Convert to fraction form
    754,311/1,648,590 = 1,648,590/x
  3. Step 3: Cross multiply
    754,311x = 1,648,590 × 1,648,590
  4. Step 4: Simplify right side
    754,311x = 2,717,848,988,100
  5. Step 5: Solve for x
    x = 2,717,848,988,100/754,311
  6. Step 6: Final answer
    x = 3,603,088.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.