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Finding the Third Proportional to 493,468 and 1,076,178

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Solution

The third proportional to 493,468 and 1,076,178 is: 2,346,979.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,468 : 1,076,178 = 1,076,178 : x
  2. Step 2: Convert to fraction form
    493,468/1,076,178 = 1,076,178/x
  3. Step 3: Cross multiply
    493,468x = 1,076,178 × 1,076,178
  4. Step 4: Simplify right side
    493,468x = 1,158,159,087,684
  5. Step 5: Solve for x
    x = 1,158,159,087,684/493,468
  6. Step 6: Final answer
    x = 2,346,979.11

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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.