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Finding the Third Proportional to 863,402 and 1,307,145

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Solution

The third proportional to 863,402 and 1,307,145 is: 1,978,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,402 : 1,307,145 = 1,307,145 : x
  2. Step 2: Convert to fraction form
    863,402/1,307,145 = 1,307,145/x
  3. Step 3: Cross multiply
    863,402x = 1,307,145 × 1,307,145
  4. Step 4: Simplify right side
    863,402x = 1,708,628,051,025
  5. Step 5: Solve for x
    x = 1,708,628,051,025/863,402
  6. Step 6: Final answer
    x = 1,978,948.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.