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Finding the Third Proportional to 585,921,360 and 886,423,064

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Solution

The third proportional to 585,921,360 and 886,423,064 is: 1,341,043,187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,921,360 : 886,423,064 = 886,423,064 : x
  2. Step 2: Convert to fraction form
    585,921,360/886,423,064 = 886,423,064/x
  3. Step 3: Cross multiply
    585,921,360x = 886,423,064 × 886,423,064
  4. Step 4: Simplify right side
    585,921,360x = 785,745,848,391,148,032
  5. Step 5: Solve for x
    x = 785,745,848,391,148,032/585,921,360
  6. Step 6: Final answer
    x = 1,341,043,187.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.