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Finding the Third Proportional to 387,455,892 and 596,348,946

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Solution

The third proportional to 387,455,892 and 596,348,946 is: 917,864,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,455,892 : 596,348,946 = 596,348,946 : x
  2. Step 2: Convert to fraction form
    387,455,892/596,348,946 = 596,348,946/x
  3. Step 3: Cross multiply
    387,455,892x = 596,348,946 × 596,348,946
  4. Step 4: Simplify right side
    387,455,892x = 355,632,065,395,310,912
  5. Step 5: Solve for x
    x = 355,632,065,395,310,912/387,455,892
  6. Step 6: Final answer
    x = 917,864,646.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.