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Finding the Third Proportional to 607,102 and 890,970

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Solution

The third proportional to 607,102 and 890,970 is: 1,307,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,102 : 890,970 = 890,970 : x
  2. Step 2: Convert to fraction form
    607,102/890,970 = 890,970/x
  3. Step 3: Cross multiply
    607,102x = 890,970 × 890,970
  4. Step 4: Simplify right side
    607,102x = 793,827,540,900
  5. Step 5: Solve for x
    x = 793,827,540,900/607,102
  6. Step 6: Final answer
    x = 1,307,568.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.