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Finding the Third Proportional to 716,578 and 1,564,148

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Solution

The third proportional to 716,578 and 1,564,148 is: 3,414,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,578 : 1,564,148 = 1,564,148 : x
  2. Step 2: Convert to fraction form
    716,578/1,564,148 = 1,564,148/x
  3. Step 3: Cross multiply
    716,578x = 1,564,148 × 1,564,148
  4. Step 4: Simplify right side
    716,578x = 2,446,558,965,904
  5. Step 5: Solve for x
    x = 2,446,558,965,904/716,578
  6. Step 6: Final answer
    x = 3,414,225.62

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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.