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Finding the Third Proportional to 458,178 and 947,778

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Solution

The third proportional to 458,178 and 947,778 is: 1,960,554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,178 : 947,778 = 947,778 : x
  2. Step 2: Convert to fraction form
    458,178/947,778 = 947,778/x
  3. Step 3: Cross multiply
    458,178x = 947,778 × 947,778
  4. Step 4: Simplify right side
    458,178x = 898,283,137,284
  5. Step 5: Solve for x
    x = 898,283,137,284/458,178
  6. Step 6: Final answer
    x = 1,960,554.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.