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Finding the Third Proportional to 642,276 and 1,000,178

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Solution

The third proportional to 642,276 and 1,000,178 is: 1,557,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,276 : 1,000,178 = 1,000,178 : x
  2. Step 2: Convert to fraction form
    642,276/1,000,178 = 1,000,178/x
  3. Step 3: Cross multiply
    642,276x = 1,000,178 × 1,000,178
  4. Step 4: Simplify right side
    642,276x = 1,000,356,031,684
  5. Step 5: Solve for x
    x = 1,000,356,031,684/642,276
  6. Step 6: Final answer
    x = 1,557,517.38

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.