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Finding the Third Proportional to 644,796 and 1,403,784

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Solution

The third proportional to 644,796 and 1,403,784 is: 3,056,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,796 : 1,403,784 = 1,403,784 : x
  2. Step 2: Convert to fraction form
    644,796/1,403,784 = 1,403,784/x
  3. Step 3: Cross multiply
    644,796x = 1,403,784 × 1,403,784
  4. Step 4: Simplify right side
    644,796x = 1,970,609,518,656
  5. Step 5: Solve for x
    x = 1,970,609,518,656/644,796
  6. Step 6: Final answer
    x = 3,056,175.16

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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.