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Finding the Third Proportional to 406,056,994 and 601,711,453

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Solution

The third proportional to 406,056,994 and 601,711,453 is: 891,640,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,056,994 : 601,711,453 = 601,711,453 : x
  2. Step 2: Convert to fraction form
    406,056,994/601,711,453 = 601,711,453/x
  3. Step 3: Cross multiply
    406,056,994x = 601,711,453 × 601,711,453
  4. Step 4: Simplify right side
    406,056,994x = 362,056,672,671,371,200
  5. Step 5: Solve for x
    x = 362,056,672,671,371,200/406,056,994
  6. Step 6: Final answer
    x = 891,640,035.81

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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.