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Finding the Third Proportional to 838,914 and 1,258,461

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Solution

The third proportional to 838,914 and 1,258,461 is: 1,887,826.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,914 : 1,258,461 = 1,258,461 : x
  2. Step 2: Convert to fraction form
    838,914/1,258,461 = 1,258,461/x
  3. Step 3: Cross multiply
    838,914x = 1,258,461 × 1,258,461
  4. Step 4: Simplify right side
    838,914x = 1,583,724,088,521
  5. Step 5: Solve for x
    x = 1,583,724,088,521/838,914
  6. Step 6: Final answer
    x = 1,887,826.51

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Why These Related Problems?

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