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Finding the Third Proportional to 698,029,848 and 1,082,319,312

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Solution

The third proportional to 698,029,848 and 1,082,319,312 is: 1,678,173,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,029,848 : 1,082,319,312 = 1,082,319,312 : x
  2. Step 2: Convert to fraction form
    698,029,848/1,082,319,312 = 1,082,319,312/x
  3. Step 3: Cross multiply
    698,029,848x = 1,082,319,312 × 1,082,319,312
  4. Step 4: Simplify right side
    698,029,848x = 1,171,415,093,128,153,344
  5. Step 5: Solve for x
    x = 1,171,415,093,128,153,344/698,029,848
  6. Step 6: Final answer
    x = 1,678,173,356.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.