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Finding the Third Proportional to 607,100 and 890,967

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Solution

The third proportional to 607,100 and 890,967 is: 1,307,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,100 : 890,967 = 890,967 : x
  2. Step 2: Convert to fraction form
    607,100/890,967 = 890,967/x
  3. Step 3: Cross multiply
    607,100x = 890,967 × 890,967
  4. Step 4: Simplify right side
    607,100x = 793,822,195,089
  5. Step 5: Solve for x
    x = 793,822,195,089/607,100
  6. Step 6: Final answer
    x = 1,307,564.15

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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.