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Finding the Third Proportional to 607,106 and 890,976

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Solution

The third proportional to 607,106 and 890,976 is: 1,307,577.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,106 : 890,976 = 890,976 : x
  2. Step 2: Convert to fraction form
    607,106/890,976 = 890,976/x
  3. Step 3: Cross multiply
    607,106x = 890,976 × 890,976
  4. Step 4: Simplify right side
    607,106x = 793,838,232,576
  5. Step 5: Solve for x
    x = 793,838,232,576/607,106
  6. Step 6: Final answer
    x = 1,307,577.64

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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.