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Finding the Third Proportional to 589,891.69 and 910,916.06

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Solution

The third proportional to 589,891.69 and 910,916.06 is: 1,406,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,891.69 : 910,916.06 = 910,916.06 : x
  2. Step 2: Convert to fraction form
    589,891.69/910,916.06 = 910,916.06/x
  3. Step 3: Cross multiply
    589,891.69x = 910,916.06 × 910,916.06
  4. Step 4: Simplify right side
    589,891.69x = 829,768,072,920.50
  5. Step 5: Solve for x
    x = 829,768,072,920.50/589,891.69
  6. Step 6: Final answer
    x = 1,406,644.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.