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Finding the Third Proportional to 838,916 and 1,258,464

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Solution

The third proportional to 838,916 and 1,258,464 is: 1,887,831.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,916 : 1,258,464 = 1,258,464 : x
  2. Step 2: Convert to fraction form
    838,916/1,258,464 = 1,258,464/x
  3. Step 3: Cross multiply
    838,916x = 1,258,464 × 1,258,464
  4. Step 4: Simplify right side
    838,916x = 1,583,731,639,296
  5. Step 5: Solve for x
    x = 1,583,731,639,296/838,916
  6. Step 6: Final answer
    x = 1,887,831.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.