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Finding the Third Proportional to 406,056,984 and 601,711,452

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Solution

The third proportional to 406,056,984 and 601,711,452 is: 891,640,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,056,984 : 601,711,452 = 601,711,452 : x
  2. Step 2: Convert to fraction form
    406,056,984/601,711,452 = 601,711,452/x
  3. Step 3: Cross multiply
    406,056,984x = 601,711,452 × 601,711,452
  4. Step 4: Simplify right side
    406,056,984x = 362,056,671,467,948,288
  5. Step 5: Solve for x
    x = 362,056,671,467,948,288/406,056,984
  6. Step 6: Final answer
    x = 891,640,054.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.