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Finding the Third Proportional to 607,004 and 906,342

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Solution

The third proportional to 607,004 and 906,342 is: 1,353,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,004 : 906,342 = 906,342 : x
  2. Step 2: Convert to fraction form
    607,004/906,342 = 906,342/x
  3. Step 3: Cross multiply
    607,004x = 906,342 × 906,342
  4. Step 4: Simplify right side
    607,004x = 821,455,820,964
  5. Step 5: Solve for x
    x = 821,455,820,964/607,004
  6. Step 6: Final answer
    x = 1,353,295.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.