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Finding the Third Proportional to 1,122,537 and 2,462,370

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Solution

The third proportional to 1,122,537 and 2,462,370 is: 5,401,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122,537 : 2,462,370 = 2,462,370 : x
  2. Step 2: Convert to fraction form
    1,122,537/2,462,370 = 2,462,370/x
  3. Step 3: Cross multiply
    1,122,537x = 2,462,370 × 2,462,370
  4. Step 4: Simplify right side
    1,122,537x = 6,063,266,016,900
  5. Step 5: Solve for x
    x = 6,063,266,016,900/1,122,537
  6. Step 6: Final answer
    x = 5,401,395.25

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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.