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Finding the Third Proportional to 849,339 and 1,848,534

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Solution

The third proportional to 849,339 and 1,848,534 is: 4,023,220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,339 : 1,848,534 = 1,848,534 : x
  2. Step 2: Convert to fraction form
    849,339/1,848,534 = 1,848,534/x
  3. Step 3: Cross multiply
    849,339x = 1,848,534 × 1,848,534
  4. Step 4: Simplify right side
    849,339x = 3,417,077,949,156
  5. Step 5: Solve for x
    x = 3,417,077,949,156/849,339
  6. Step 6: Final answer
    x = 4,023,220.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.