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Finding the Third Proportional to 603,905.31 and 1,316,317.71

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Solution

The third proportional to 603,905.31 and 1,316,317.71 is: 2,869,145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,905.31 : 1,316,317.71 = 1,316,317.71 : x
  2. Step 2: Convert to fraction form
    603,905.31/1,316,317.71 = 1,316,317.71/x
  3. Step 3: Cross multiply
    603,905.31x = 1,316,317.71 × 1,316,317.71
  4. Step 4: Simplify right side
    603,905.31x = 1,732,692,316,127.74
  5. Step 5: Solve for x
    x = 1,732,692,316,127.74/603,905.31
  6. Step 6: Final answer
    x = 2,869,145.69

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Why These Related Problems?

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