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Finding the Third Proportional to 2,358,291 and 3,740,261

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Solution

The third proportional to 2,358,291 and 3,740,261 is: 5,932,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,291 : 3,740,261 = 3,740,261 : x
  2. Step 2: Convert to fraction form
    2,358,291/3,740,261 = 3,740,261/x
  3. Step 3: Cross multiply
    2,358,291x = 3,740,261 × 3,740,261
  4. Step 4: Simplify right side
    2,358,291x = 13,989,552,348,121
  5. Step 5: Solve for x
    x = 13,989,552,348,121/2,358,291
  6. Step 6: Final answer
    x = 5,932,072.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.