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Finding the Third Proportional to 904,564 and 1,406,640

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Solution

The third proportional to 904,564 and 1,406,640 is: 2,187,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,564 : 1,406,640 = 1,406,640 : x
  2. Step 2: Convert to fraction form
    904,564/1,406,640 = 1,406,640/x
  3. Step 3: Cross multiply
    904,564x = 1,406,640 × 1,406,640
  4. Step 4: Simplify right side
    904,564x = 1,978,636,089,600
  5. Step 5: Solve for x
    x = 1,978,636,089,600/904,564
  6. Step 6: Final answer
    x = 2,187,392.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.