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Finding the Third Proportional to 830,044 and 1,221,328

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Solution

The third proportional to 830,044 and 1,221,328 is: 1,797,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,044 : 1,221,328 = 1,221,328 : x
  2. Step 2: Convert to fraction form
    830,044/1,221,328 = 1,221,328/x
  3. Step 3: Cross multiply
    830,044x = 1,221,328 × 1,221,328
  4. Step 4: Simplify right side
    830,044x = 1,491,642,083,584
  5. Step 5: Solve for x
    x = 1,491,642,083,584/830,044
  6. Step 6: Final answer
    x = 1,797,063.87

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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.