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Finding the Third Proportional to 560,964 and 1,207,464

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Solution

The third proportional to 560,964 and 1,207,464 is: 2,599,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,964 : 1,207,464 = 1,207,464 : x
  2. Step 2: Convert to fraction form
    560,964/1,207,464 = 1,207,464/x
  3. Step 3: Cross multiply
    560,964x = 1,207,464 × 1,207,464
  4. Step 4: Simplify right side
    560,964x = 1,457,969,311,296
  5. Step 5: Solve for x
    x = 1,457,969,311,296/560,964
  6. Step 6: Final answer
    x = 2,599,042.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.