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Finding the Third Proportional to 1,346,576 and 2,879,776

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Solution

The third proportional to 1,346,576 and 2,879,776 is: 6,158,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,576 : 2,879,776 = 2,879,776 : x
  2. Step 2: Convert to fraction form
    1,346,576/2,879,776 = 2,879,776/x
  3. Step 3: Cross multiply
    1,346,576x = 2,879,776 × 2,879,776
  4. Step 4: Simplify right side
    1,346,576x = 8,293,109,810,176
  5. Step 5: Solve for x
    x = 8,293,109,810,176/1,346,576
  6. Step 6: Final answer
    x = 6,158,664.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.