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Finding the Third Proportional to 1,465,314 and 3,124,176

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Solution

The third proportional to 1,465,314 and 3,124,176 is: 6,661,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,314 : 3,124,176 = 3,124,176 : x
  2. Step 2: Convert to fraction form
    1,465,314/3,124,176 = 3,124,176/x
  3. Step 3: Cross multiply
    1,465,314x = 3,124,176 × 3,124,176
  4. Step 4: Simplify right side
    1,465,314x = 9,760,475,678,976
  5. Step 5: Solve for x
    x = 9,760,475,678,976/1,465,314
  6. Step 6: Final answer
    x = 6,661,013.05

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.