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Finding the Third Proportional to 736,233 and 1,605,507

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Solution

The third proportional to 736,233 and 1,605,507 is: 3,501,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,233 : 1,605,507 = 1,605,507 : x
  2. Step 2: Convert to fraction form
    736,233/1,605,507 = 1,605,507/x
  3. Step 3: Cross multiply
    736,233x = 1,605,507 × 1,605,507
  4. Step 4: Simplify right side
    736,233x = 2,577,652,727,049
  5. Step 5: Solve for x
    x = 2,577,652,727,049/736,233
  6. Step 6: Final answer
    x = 3,501,137.18

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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.