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Finding the Third Proportional to 760,914 and 1,139,292

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Solution

The third proportional to 760,914 and 1,139,292 is: 1,705,825.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,914 : 1,139,292 = 1,139,292 : x
  2. Step 2: Convert to fraction form
    760,914/1,139,292 = 1,139,292/x
  3. Step 3: Cross multiply
    760,914x = 1,139,292 × 1,139,292
  4. Step 4: Simplify right side
    760,914x = 1,297,986,261,264
  5. Step 5: Solve for x
    x = 1,297,986,261,264/760,914
  6. Step 6: Final answer
    x = 1,705,825.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.