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Finding the Third Proportional to 477,464 and 1,038,910

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Solution

The third proportional to 477,464 and 1,038,910 is: 2,260,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,464 : 1,038,910 = 1,038,910 : x
  2. Step 2: Convert to fraction form
    477,464/1,038,910 = 1,038,910/x
  3. Step 3: Cross multiply
    477,464x = 1,038,910 × 1,038,910
  4. Step 4: Simplify right side
    477,464x = 1,079,333,988,100
  5. Step 5: Solve for x
    x = 1,079,333,988,100/477,464
  6. Step 6: Final answer
    x = 2,260,555.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.