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Finding the Third Proportional to 2,301,544.13 and 3,407,710.50

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Solution

The third proportional to 2,301,544.13 and 3,407,710.50 is: 5,045,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301,544.13 : 3,407,710.50 = 3,407,710.50 : x
  2. Step 2: Convert to fraction form
    2,301,544.13/3,407,710.50 = 3,407,710.50/x
  3. Step 3: Cross multiply
    2,301,544.13x = 3,407,710.50 × 3,407,710.50
  4. Step 4: Simplify right side
    2,301,544.13x = 11,612,490,851,810.25
  5. Step 5: Solve for x
    x = 11,612,490,851,810.25/2,301,544.13
  6. Step 6: Final answer
    x = 5,045,521.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.