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Finding the Third Proportional to 2,461,465.13 and 3,725,065.69

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Solution

The third proportional to 2,461,465.13 and 3,725,065.69 is: 5,637,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461,465.13 : 3,725,065.69 = 3,725,065.69 : x
  2. Step 2: Convert to fraction form
    2,461,465.13/3,725,065.69 = 3,725,065.69/x
  3. Step 3: Cross multiply
    2,461,465.13x = 3,725,065.69 × 3,725,065.69
  4. Step 4: Simplify right side
    2,461,465.13x = 13,876,114,376,189.85
  5. Step 5: Solve for x
    x = 13,876,114,376,189.85/2,461,465.13
  6. Step 6: Final answer
    x = 5,637,339.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.