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Finding the Third Proportional to 494,547 and 886,989

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Solution

The third proportional to 494,547 and 886,989 is: 1,590,848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,547 : 886,989 = 886,989 : x
  2. Step 2: Convert to fraction form
    494,547/886,989 = 886,989/x
  3. Step 3: Cross multiply
    494,547x = 886,989 × 886,989
  4. Step 4: Simplify right side
    494,547x = 786,749,486,121
  5. Step 5: Solve for x
    x = 786,749,486,121/494,547
  6. Step 6: Final answer
    x = 1,590,848.77

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.