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Finding the Third Proportional to 679,316 and 1,453,765

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Solution

The third proportional to 679,316 and 1,453,765 is: 3,111,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,316 : 1,453,765 = 1,453,765 : x
  2. Step 2: Convert to fraction form
    679,316/1,453,765 = 1,453,765/x
  3. Step 3: Cross multiply
    679,316x = 1,453,765 × 1,453,765
  4. Step 4: Simplify right side
    679,316x = 2,113,432,675,225
  5. Step 5: Solve for x
    x = 2,113,432,675,225/679,316
  6. Step 6: Final answer
    x = 3,111,118.65

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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.