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Finding the Third Proportional to 2,289,258.56 and 4,766,905.13

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Solution

The third proportional to 2,289,258.56 and 4,766,905.13 is: 9,926,089.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,258.56 : 4,766,905.13 = 4,766,905.13 : x
  2. Step 2: Convert to fraction form
    2,289,258.56/4,766,905.13 = 4,766,905.13/x
  3. Step 3: Cross multiply
    2,289,258.56x = 4,766,905.13 × 4,766,905.13
  4. Step 4: Simplify right side
    2,289,258.56x = 22,723,384,470,751.27
  5. Step 5: Solve for x
    x = 22,723,384,470,751.27/2,289,258.56
  6. Step 6: Final answer
    x = 9,926,089.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.