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Finding the Third Proportional to 715,880 and 1,558,363

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Solution

The third proportional to 715,880 and 1,558,363 is: 3,392,321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,880 : 1,558,363 = 1,558,363 : x
  2. Step 2: Convert to fraction form
    715,880/1,558,363 = 1,558,363/x
  3. Step 3: Cross multiply
    715,880x = 1,558,363 × 1,558,363
  4. Step 4: Simplify right side
    715,880x = 2,428,495,239,769
  5. Step 5: Solve for x
    x = 2,428,495,239,769/715,880
  6. Step 6: Final answer
    x = 3,392,321.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.