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Finding the Third Proportional to 897,918.75 and 1,221,328.13

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Solution

The third proportional to 897,918.75 and 1,221,328.13 is: 1,661,222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,918.75 : 1,221,328.13 = 1,221,328.13 : x
  2. Step 2: Convert to fraction form
    897,918.75/1,221,328.13 = 1,221,328.13/x
  3. Step 3: Cross multiply
    897,918.75x = 1,221,328.13 × 1,221,328.13
  4. Step 4: Simplify right side
    897,918.75x = 1,491,642,388,916.02
  5. Step 5: Solve for x
    x = 1,491,642,388,916.02/897,918.75
  6. Step 6: Final answer
    x = 1,661,222.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.