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Finding the Third Proportional to 435,888 and 933,984

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Solution

The third proportional to 435,888 and 933,984 is: 2,001,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,888 : 933,984 = 933,984 : x
  2. Step 2: Convert to fraction form
    435,888/933,984 = 933,984/x
  3. Step 3: Cross multiply
    435,888x = 933,984 × 933,984
  4. Step 4: Simplify right side
    435,888x = 872,326,112,256
  5. Step 5: Solve for x
    x = 872,326,112,256/435,888
  6. Step 6: Final answer
    x = 2,001,262.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.