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Finding the Third Proportional to 596,047 and 1,293,012

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Solution

The third proportional to 596,047 and 1,293,012 is: 2,804,946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,047 : 1,293,012 = 1,293,012 : x
  2. Step 2: Convert to fraction form
    596,047/1,293,012 = 1,293,012/x
  3. Step 3: Cross multiply
    596,047x = 1,293,012 × 1,293,012
  4. Step 4: Simplify right side
    596,047x = 1,671,880,032,144
  5. Step 5: Solve for x
    x = 1,671,880,032,144/596,047
  6. Step 6: Final answer
    x = 2,804,946.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.