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Finding the Third Proportional to 1,945,971 and 4,258,482.75

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Solution

The third proportional to 1,945,971 and 4,258,482.75 is: 9,319,088.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945,971 : 4,258,482.75 = 4,258,482.75 : x
  2. Step 2: Convert to fraction form
    1,945,971/4,258,482.75 = 4,258,482.75/x
  3. Step 3: Cross multiply
    1,945,971x = 4,258,482.75 × 4,258,482.75
  4. Step 4: Simplify right side
    1,945,971x = 18,134,675,332,047.56
  5. Step 5: Solve for x
    x = 18,134,675,332,047.56/1,945,971
  6. Step 6: Final answer
    x = 9,319,088.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.