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Finding the Third Proportional to 760,610 and 1,169,214

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Solution

The third proportional to 760,610 and 1,169,214 is: 1,797,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,610 : 1,169,214 = 1,169,214 : x
  2. Step 2: Convert to fraction form
    760,610/1,169,214 = 1,169,214/x
  3. Step 3: Cross multiply
    760,610x = 1,169,214 × 1,169,214
  4. Step 4: Simplify right side
    760,610x = 1,367,061,377,796
  5. Step 5: Solve for x
    x = 1,367,061,377,796/760,610
  6. Step 6: Final answer
    x = 1,797,322.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.