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Finding the Third Proportional to 563,807 and 1,182,970

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Solution

The third proportional to 563,807 and 1,182,970 is: 2,482,086.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,807 : 1,182,970 = 1,182,970 : x
  2. Step 2: Convert to fraction form
    563,807/1,182,970 = 1,182,970/x
  3. Step 3: Cross multiply
    563,807x = 1,182,970 × 1,182,970
  4. Step 4: Simplify right side
    563,807x = 1,399,418,020,900
  5. Step 5: Solve for x
    x = 1,399,418,020,900/563,807
  6. Step 6: Final answer
    x = 2,482,086.99

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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.