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Finding the Third Proportional to 563,762 and 1,186,546

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Solution

The third proportional to 563,762 and 1,186,546 is: 2,497,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,762 : 1,186,546 = 1,186,546 : x
  2. Step 2: Convert to fraction form
    563,762/1,186,546 = 1,186,546/x
  3. Step 3: Cross multiply
    563,762x = 1,186,546 × 1,186,546
  4. Step 4: Simplify right side
    563,762x = 1,407,891,410,116
  5. Step 5: Solve for x
    x = 1,407,891,410,116/563,762
  6. Step 6: Final answer
    x = 2,497,315.20

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.