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Finding the Third Proportional to 596,768 and 1,298,472

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Solution

The third proportional to 596,768 and 1,298,472 is: 2,825,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,768 : 1,298,472 = 1,298,472 : x
  2. Step 2: Convert to fraction form
    596,768/1,298,472 = 1,298,472/x
  3. Step 3: Cross multiply
    596,768x = 1,298,472 × 1,298,472
  4. Step 4: Simplify right side
    596,768x = 1,686,029,534,784
  5. Step 5: Solve for x
    x = 1,686,029,534,784/596,768
  6. Step 6: Final answer
    x = 2,825,268.00

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.