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Finding the Third Proportional to 765,052 and 1,180,492

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Solution

The third proportional to 765,052 and 1,180,492 is: 1,821,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,052 : 1,180,492 = 1,180,492 : x
  2. Step 2: Convert to fraction form
    765,052/1,180,492 = 1,180,492/x
  3. Step 3: Cross multiply
    765,052x = 1,180,492 × 1,180,492
  4. Step 4: Simplify right side
    765,052x = 1,393,561,362,064
  5. Step 5: Solve for x
    x = 1,393,561,362,064/765,052
  6. Step 6: Final answer
    x = 1,821,525.02

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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.