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Finding the Third Proportional to 676,948 and 1,440,832

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Solution

The third proportional to 676,948 and 1,440,832 is: 3,066,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,948 : 1,440,832 = 1,440,832 : x
  2. Step 2: Convert to fraction form
    676,948/1,440,832 = 1,440,832/x
  3. Step 3: Cross multiply
    676,948x = 1,440,832 × 1,440,832
  4. Step 4: Simplify right side
    676,948x = 2,075,996,852,224
  5. Step 5: Solve for x
    x = 2,075,996,852,224/676,948
  6. Step 6: Final answer
    x = 3,066,700.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.