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Finding the Third Proportional to 772,733 and 1,182,046

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Solution

The third proportional to 772,733 and 1,182,046 is: 1,808,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,733 : 1,182,046 = 1,182,046 : x
  2. Step 2: Convert to fraction form
    772,733/1,182,046 = 1,182,046/x
  3. Step 3: Cross multiply
    772,733x = 1,182,046 × 1,182,046
  4. Step 4: Simplify right side
    772,733x = 1,397,232,746,116
  5. Step 5: Solve for x
    x = 1,397,232,746,116/772,733
  6. Step 6: Final answer
    x = 1,808,170.15

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.