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Finding the Third Proportional to 450,096.75 and 976,465.13

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Solution

The third proportional to 450,096.75 and 976,465.13 is: 2,118,398.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,096.75 : 976,465.13 = 976,465.13 : x
  2. Step 2: Convert to fraction form
    450,096.75/976,465.13 = 976,465.13/x
  3. Step 3: Cross multiply
    450,096.75x = 976,465.13 × 976,465.13
  4. Step 4: Simplify right side
    450,096.75x = 953,484,140,341.27
  5. Step 5: Solve for x
    x = 953,484,140,341.27/450,096.75
  6. Step 6: Final answer
    x = 2,118,398.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.