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Finding the Third Proportional to 2,452,748 and 3,828,094

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Solution

The third proportional to 2,452,748 and 3,828,094 is: 5,974,647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452,748 : 3,828,094 = 3,828,094 : x
  2. Step 2: Convert to fraction form
    2,452,748/3,828,094 = 3,828,094/x
  3. Step 3: Cross multiply
    2,452,748x = 3,828,094 × 3,828,094
  4. Step 4: Simplify right side
    2,452,748x = 14,654,303,672,836
  5. Step 5: Solve for x
    x = 14,654,303,672,836/2,452,748
  6. Step 6: Final answer
    x = 5,974,647.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.