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Finding the Third Proportional to 679,185,980 and 1,077,192,284

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Solution

The third proportional to 679,185,980 and 1,077,192,284 is: 1,708,432,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,185,980 : 1,077,192,284 = 1,077,192,284 : x
  2. Step 2: Convert to fraction form
    679,185,980/1,077,192,284 = 1,077,192,284/x
  3. Step 3: Cross multiply
    679,185,980x = 1,077,192,284 × 1,077,192,284
  4. Step 4: Simplify right side
    679,185,980x = 1,160,343,216,709,136,640
  5. Step 5: Solve for x
    x = 1,160,343,216,709,136,640/679,185,980
  6. Step 6: Final answer
    x = 1,708,432,227.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.