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Finding the Third Proportional to 589,886 and 907,914

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Solution

The third proportional to 589,886 and 907,914 is: 1,397,401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,886 : 907,914 = 907,914 : x
  2. Step 2: Convert to fraction form
    589,886/907,914 = 907,914/x
  3. Step 3: Cross multiply
    589,886x = 907,914 × 907,914
  4. Step 4: Simplify right side
    589,886x = 824,307,831,396
  5. Step 5: Solve for x
    x = 824,307,831,396/589,886
  6. Step 6: Final answer
    x = 1,397,401.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.