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Finding the Third Proportional to 684,858 and 1,064,583

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Solution

The third proportional to 684,858 and 1,064,583 is: 1,654,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,858 : 1,064,583 = 1,064,583 : x
  2. Step 2: Convert to fraction form
    684,858/1,064,583 = 1,064,583/x
  3. Step 3: Cross multiply
    684,858x = 1,064,583 × 1,064,583
  4. Step 4: Simplify right side
    684,858x = 1,133,336,963,889
  5. Step 5: Solve for x
    x = 1,133,336,963,889/684,858
  6. Step 6: Final answer
    x = 1,654,849.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.