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Finding the Third Proportional to 594,654 and 847,695

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Solution

The third proportional to 594,654 and 847,695 is: 1,208,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,654 : 847,695 = 847,695 : x
  2. Step 2: Convert to fraction form
    594,654/847,695 = 847,695/x
  3. Step 3: Cross multiply
    594,654x = 847,695 × 847,695
  4. Step 4: Simplify right side
    594,654x = 718,586,813,025
  5. Step 5: Solve for x
    x = 718,586,813,025/594,654
  6. Step 6: Final answer
    x = 1,208,411.64

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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.