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Finding the Third Proportional to 1,360,817 and 2,929,642

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Solution

The third proportional to 1,360,817 and 2,929,642 is: 6,307,095.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360,817 : 2,929,642 = 2,929,642 : x
  2. Step 2: Convert to fraction form
    1,360,817/2,929,642 = 2,929,642/x
  3. Step 3: Cross multiply
    1,360,817x = 2,929,642 × 2,929,642
  4. Step 4: Simplify right side
    1,360,817x = 8,582,802,248,164
  5. Step 5: Solve for x
    x = 8,582,802,248,164/1,360,817
  6. Step 6: Final answer
    x = 6,307,095.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.