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Finding the Third Proportional to 594,911 and 893,683

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Solution

The third proportional to 594,911 and 893,683 is: 1,342,502.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,911 : 893,683 = 893,683 : x
  2. Step 2: Convert to fraction form
    594,911/893,683 = 893,683/x
  3. Step 3: Cross multiply
    594,911x = 893,683 × 893,683
  4. Step 4: Simplify right side
    594,911x = 798,669,304,489
  5. Step 5: Solve for x
    x = 798,669,304,489/594,911
  6. Step 6: Final answer
    x = 1,342,502.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.