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Finding the Third Proportional to 623,316 and 1,345,044

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Solution

The third proportional to 623,316 and 1,345,044 is: 2,902,449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,316 : 1,345,044 = 1,345,044 : x
  2. Step 2: Convert to fraction form
    623,316/1,345,044 = 1,345,044/x
  3. Step 3: Cross multiply
    623,316x = 1,345,044 × 1,345,044
  4. Step 4: Simplify right side
    623,316x = 1,809,143,361,936
  5. Step 5: Solve for x
    x = 1,809,143,361,936/623,316
  6. Step 6: Final answer
    x = 2,902,449.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.