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Finding the Third Proportional to 1,364,319 and 2,970,681

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Solution

The third proportional to 1,364,319 and 2,970,681 is: 6,468,388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364,319 : 2,970,681 = 2,970,681 : x
  2. Step 2: Convert to fraction form
    1,364,319/2,970,681 = 2,970,681/x
  3. Step 3: Cross multiply
    1,364,319x = 2,970,681 × 2,970,681
  4. Step 4: Simplify right side
    1,364,319x = 8,824,945,603,761
  5. Step 5: Solve for x
    x = 8,824,945,603,761/1,364,319
  6. Step 6: Final answer
    x = 6,468,388.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.