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Finding the Third Proportional to 611,443.69 and 898,467.19

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Solution

The third proportional to 611,443.69 and 898,467.19 is: 1,320,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,443.69 : 898,467.19 = 898,467.19 : x
  2. Step 2: Convert to fraction form
    611,443.69/898,467.19 = 898,467.19/x
  3. Step 3: Cross multiply
    611,443.69x = 898,467.19 × 898,467.19
  4. Step 4: Simplify right side
    611,443.69x = 807,243,287,014.16
  5. Step 5: Solve for x
    x = 807,243,287,014.16/611,443.69
  6. Step 6: Final answer
    x = 1,320,225.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.