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Finding the Third Proportional to 2,603,714 and 5,487,364

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Solution

The third proportional to 2,603,714 and 5,487,364 is: 11,564,697.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603,714 : 5,487,364 = 5,487,364 : x
  2. Step 2: Convert to fraction form
    2,603,714/5,487,364 = 5,487,364/x
  3. Step 3: Cross multiply
    2,603,714x = 5,487,364 × 5,487,364
  4. Step 4: Simplify right side
    2,603,714x = 30,111,163,668,496
  5. Step 5: Solve for x
    x = 30,111,163,668,496/2,603,714
  6. Step 6: Final answer
    x = 11,564,697.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.