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Finding the Third Proportional to 540,507 and 1,147,684

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Solution

The third proportional to 540,507 and 1,147,684 is: 2,436,931.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,507 : 1,147,684 = 1,147,684 : x
  2. Step 2: Convert to fraction form
    540,507/1,147,684 = 1,147,684/x
  3. Step 3: Cross multiply
    540,507x = 1,147,684 × 1,147,684
  4. Step 4: Simplify right side
    540,507x = 1,317,178,563,856
  5. Step 5: Solve for x
    x = 1,317,178,563,856/540,507
  6. Step 6: Final answer
    x = 2,436,931.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.