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Finding the Third Proportional to 973,324 and 1,301,964

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Solution

The third proportional to 973,324 and 1,301,964 is: 1,741,568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,324 : 1,301,964 = 1,301,964 : x
  2. Step 2: Convert to fraction form
    973,324/1,301,964 = 1,301,964/x
  3. Step 3: Cross multiply
    973,324x = 1,301,964 × 1,301,964
  4. Step 4: Simplify right side
    973,324x = 1,695,110,257,296
  5. Step 5: Solve for x
    x = 1,695,110,257,296/973,324
  6. Step 6: Final answer
    x = 1,741,568.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.