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Finding the Third Proportional to 889,938 and 1,909,476

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Solution

The third proportional to 889,938 and 1,909,476 is: 4,097,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,938 : 1,909,476 = 1,909,476 : x
  2. Step 2: Convert to fraction form
    889,938/1,909,476 = 1,909,476/x
  3. Step 3: Cross multiply
    889,938x = 1,909,476 × 1,909,476
  4. Step 4: Simplify right side
    889,938x = 3,646,098,594,576
  5. Step 5: Solve for x
    x = 3,646,098,594,576/889,938
  6. Step 6: Final answer
    x = 4,097,025.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.