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Finding the Third Proportional to 723,088 and 1,574,856

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Solution

The third proportional to 723,088 and 1,574,856 is: 3,429,971.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,088 : 1,574,856 = 1,574,856 : x
  2. Step 2: Convert to fraction form
    723,088/1,574,856 = 1,574,856/x
  3. Step 3: Cross multiply
    723,088x = 1,574,856 × 1,574,856
  4. Step 4: Simplify right side
    723,088x = 2,480,171,420,736
  5. Step 5: Solve for x
    x = 2,480,171,420,736/723,088
  6. Step 6: Final answer
    x = 3,429,971.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.