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Finding the Third Proportional to 701,856 and 1,048,106

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Solution

The third proportional to 701,856 and 1,048,106 is: 1,565,173.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,856 : 1,048,106 = 1,048,106 : x
  2. Step 2: Convert to fraction form
    701,856/1,048,106 = 1,048,106/x
  3. Step 3: Cross multiply
    701,856x = 1,048,106 × 1,048,106
  4. Step 4: Simplify right side
    701,856x = 1,098,526,187,236
  5. Step 5: Solve for x
    x = 1,098,526,187,236/701,856
  6. Step 6: Final answer
    x = 1,565,173.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.