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Finding the Third Proportional to 623,218 and 891,222

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Solution

The third proportional to 623,218 and 891,222 is: 1,274,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,218 : 891,222 = 891,222 : x
  2. Step 2: Convert to fraction form
    623,218/891,222 = 891,222/x
  3. Step 3: Cross multiply
    623,218x = 891,222 × 891,222
  4. Step 4: Simplify right side
    623,218x = 794,276,653,284
  5. Step 5: Solve for x
    x = 794,276,653,284/623,218
  6. Step 6: Final answer
    x = 1,274,476.43

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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.