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Finding the Third Proportional to 670,770 and 1,077,111

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Solution

The third proportional to 670,770 and 1,077,111 is: 1,729,606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,770 : 1,077,111 = 1,077,111 : x
  2. Step 2: Convert to fraction form
    670,770/1,077,111 = 1,077,111/x
  3. Step 3: Cross multiply
    670,770x = 1,077,111 × 1,077,111
  4. Step 4: Simplify right side
    670,770x = 1,160,168,106,321
  5. Step 5: Solve for x
    x = 1,160,168,106,321/670,770
  6. Step 6: Final answer
    x = 1,729,606.43

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.