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Finding the Third Proportional to 454,080 and 973,359

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Solution

The third proportional to 454,080 and 973,359 is: 2,086,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,080 : 973,359 = 973,359 : x
  2. Step 2: Convert to fraction form
    454,080/973,359 = 973,359/x
  3. Step 3: Cross multiply
    454,080x = 973,359 × 973,359
  4. Step 4: Simplify right side
    454,080x = 947,427,742,881
  5. Step 5: Solve for x
    x = 947,427,742,881/454,080
  6. Step 6: Final answer
    x = 2,086,477.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.