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Finding the Third Proportional to 846,740 and 1,166,430

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Solution

The third proportional to 846,740 and 1,166,430 is: 1,606,820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,740 : 1,166,430 = 1,166,430 : x
  2. Step 2: Convert to fraction form
    846,740/1,166,430 = 1,166,430/x
  3. Step 3: Cross multiply
    846,740x = 1,166,430 × 1,166,430
  4. Step 4: Simplify right side
    846,740x = 1,360,558,944,900
  5. Step 5: Solve for x
    x = 1,360,558,944,900/846,740
  6. Step 6: Final answer
    x = 1,606,820.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.