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Finding the Third Proportional to 595,010 and 906,473

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Solution

The third proportional to 595,010 and 906,473 is: 1,380,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,010 : 906,473 = 906,473 : x
  2. Step 2: Convert to fraction form
    595,010/906,473 = 906,473/x
  3. Step 3: Cross multiply
    595,010x = 906,473 × 906,473
  4. Step 4: Simplify right side
    595,010x = 821,693,299,729
  5. Step 5: Solve for x
    x = 821,693,299,729/595,010
  6. Step 6: Final answer
    x = 1,380,973.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.