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Finding the Third Proportional to 656,969 and 1,416,484

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Solution

The third proportional to 656,969 and 1,416,484 is: 3,054,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,969 : 1,416,484 = 1,416,484 : x
  2. Step 2: Convert to fraction form
    656,969/1,416,484 = 1,416,484/x
  3. Step 3: Cross multiply
    656,969x = 1,416,484 × 1,416,484
  4. Step 4: Simplify right side
    656,969x = 2,006,426,922,256
  5. Step 5: Solve for x
    x = 2,006,426,922,256/656,969
  6. Step 6: Final answer
    x = 3,054,066.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.