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Finding the Third Proportional to 903,196 and 1,329,842

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Solution

The third proportional to 903,196 and 1,329,842 is: 1,958,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,196 : 1,329,842 = 1,329,842 : x
  2. Step 2: Convert to fraction form
    903,196/1,329,842 = 1,329,842/x
  3. Step 3: Cross multiply
    903,196x = 1,329,842 × 1,329,842
  4. Step 4: Simplify right side
    903,196x = 1,768,479,744,964
  5. Step 5: Solve for x
    x = 1,768,479,744,964/903,196
  6. Step 6: Final answer
    x = 1,958,024.33

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