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Finding the Third Proportional to 1,217,460 and 2,603,760

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Solution

The third proportional to 1,217,460 and 2,603,760 is: 5,568,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217,460 : 2,603,760 = 2,603,760 : x
  2. Step 2: Convert to fraction form
    1,217,460/2,603,760 = 2,603,760/x
  3. Step 3: Cross multiply
    1,217,460x = 2,603,760 × 2,603,760
  4. Step 4: Simplify right side
    1,217,460x = 6,779,566,137,600
  5. Step 5: Solve for x
    x = 6,779,566,137,600/1,217,460
  6. Step 6: Final answer
    x = 5,568,615.10

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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.