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Finding the Third Proportional to 623,081 and 891,018

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Solution

The third proportional to 623,081 and 891,018 is: 1,274,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,081 : 891,018 = 891,018 : x
  2. Step 2: Convert to fraction form
    623,081/891,018 = 891,018/x
  3. Step 3: Cross multiply
    623,081x = 891,018 × 891,018
  4. Step 4: Simplify right side
    623,081x = 793,913,076,324
  5. Step 5: Solve for x
    x = 793,913,076,324/623,081
  6. Step 6: Final answer
    x = 1,274,173.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.