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Finding the Third Proportional to 656,968 and 1,416,482

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Solution

The third proportional to 656,968 and 1,416,482 is: 3,054,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,968 : 1,416,482 = 1,416,482 : x
  2. Step 2: Convert to fraction form
    656,968/1,416,482 = 1,416,482/x
  3. Step 3: Cross multiply
    656,968x = 1,416,482 × 1,416,482
  4. Step 4: Simplify right side
    656,968x = 2,006,421,256,324
  5. Step 5: Solve for x
    x = 2,006,421,256,324/656,968
  6. Step 6: Final answer
    x = 3,054,062.38

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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.