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Finding the Third Proportional to 1,409,867.44 and 2,980,459.13

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Solution

The third proportional to 1,409,867.44 and 2,980,459.13 is: 6,300,689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,867.44 : 2,980,459.13 = 2,980,459.13 : x
  2. Step 2: Convert to fraction form
    1,409,867.44/2,980,459.13 = 2,980,459.13/x
  3. Step 3: Cross multiply
    1,409,867.44x = 2,980,459.13 × 2,980,459.13
  4. Step 4: Simplify right side
    1,409,867.44x = 8,883,136,595,795.77
  5. Step 5: Solve for x
    x = 8,883,136,595,795.77/1,409,867.44
  6. Step 6: Final answer
    x = 6,300,689.24

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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.