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Finding the Third Proportional to 623,073 and 891,006

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Solution

The third proportional to 623,073 and 891,006 is: 1,274,155.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,073 : 891,006 = 891,006 : x
  2. Step 2: Convert to fraction form
    623,073/891,006 = 891,006/x
  3. Step 3: Cross multiply
    623,073x = 891,006 × 891,006
  4. Step 4: Simplify right side
    623,073x = 793,891,692,036
  5. Step 5: Solve for x
    x = 793,891,692,036/623,073
  6. Step 6: Final answer
    x = 1,274,155.18

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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.