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Finding the Third Proportional to 451,214,980 and 608,794,950

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Solution

The third proportional to 451,214,980 and 608,794,950 is: 821,407,328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,214,980 : 608,794,950 = 608,794,950 : x
  2. Step 2: Convert to fraction form
    451,214,980/608,794,950 = 608,794,950/x
  3. Step 3: Cross multiply
    451,214,980x = 608,794,950 × 608,794,950
  4. Step 4: Simplify right side
    451,214,980x = 370,631,291,145,502,528
  5. Step 5: Solve for x
    x = 370,631,291,145,502,528/451,214,980
  6. Step 6: Final answer
    x = 821,407,328.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.