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Finding the Third Proportional to 612,740 and 1,346,434

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Solution

The third proportional to 612,740 and 1,346,434 is: 2,958,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,740 : 1,346,434 = 1,346,434 : x
  2. Step 2: Convert to fraction form
    612,740/1,346,434 = 1,346,434/x
  3. Step 3: Cross multiply
    612,740x = 1,346,434 × 1,346,434
  4. Step 4: Simplify right side
    612,740x = 1,812,884,516,356
  5. Step 5: Solve for x
    x = 1,812,884,516,356/612,740
  6. Step 6: Final answer
    x = 2,958,652.15

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.