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Finding the Third Proportional to 763,146 and 1,208,142

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Solution

The third proportional to 763,146 and 1,208,142 is: 1,912,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,146 : 1,208,142 = 1,208,142 : x
  2. Step 2: Convert to fraction form
    763,146/1,208,142 = 1,208,142/x
  3. Step 3: Cross multiply
    763,146x = 1,208,142 × 1,208,142
  4. Step 4: Simplify right side
    763,146x = 1,459,607,092,164
  5. Step 5: Solve for x
    x = 1,459,607,092,164/763,146
  6. Step 6: Final answer
    x = 1,912,618.41

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.