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Finding the Third Proportional to 760,578 and 1,169,160

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Solution

The third proportional to 760,578 and 1,169,160 is: 1,797,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,578 : 1,169,160 = 1,169,160 : x
  2. Step 2: Convert to fraction form
    760,578/1,169,160 = 1,169,160/x
  3. Step 3: Cross multiply
    760,578x = 1,169,160 × 1,169,160
  4. Step 4: Simplify right side
    760,578x = 1,366,935,105,600
  5. Step 5: Solve for x
    x = 1,366,935,105,600/760,578
  6. Step 6: Final answer
    x = 1,797,231.98

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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.