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Finding the Third Proportional to 679,185,984 and 1,077,192,290

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Solution

The third proportional to 679,185,984 and 1,077,192,290 is: 1,708,432,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,185,984 : 1,077,192,290 = 1,077,192,290 : x
  2. Step 2: Convert to fraction form
    679,185,984/1,077,192,290 = 1,077,192,290/x
  3. Step 3: Cross multiply
    679,185,984x = 1,077,192,290 × 1,077,192,290
  4. Step 4: Simplify right side
    679,185,984x = 1,160,343,229,635,444,224
  5. Step 5: Solve for x
    x = 1,160,343,229,635,444,224/679,185,984
  6. Step 6: Final answer
    x = 1,708,432,236.49

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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.