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Finding the Third Proportional to 599,051 and 1,303,072

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Solution

The third proportional to 599,051 and 1,303,072 is: 2,834,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,051 : 1,303,072 = 1,303,072 : x
  2. Step 2: Convert to fraction form
    599,051/1,303,072 = 1,303,072/x
  3. Step 3: Cross multiply
    599,051x = 1,303,072 × 1,303,072
  4. Step 4: Simplify right side
    599,051x = 1,697,996,637,184
  5. Step 5: Solve for x
    x = 1,697,996,637,184/599,051
  6. Step 6: Final answer
    x = 2,834,477.59

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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.