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Finding the Third Proportional to 934,546 and 1,464,111

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Solution

The third proportional to 934,546 and 1,464,111 is: 2,293,756.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,546 : 1,464,111 = 1,464,111 : x
  2. Step 2: Convert to fraction form
    934,546/1,464,111 = 1,464,111/x
  3. Step 3: Cross multiply
    934,546x = 1,464,111 × 1,464,111
  4. Step 4: Simplify right side
    934,546x = 2,143,621,020,321
  5. Step 5: Solve for x
    x = 2,143,621,020,321/934,546
  6. Step 6: Final answer
    x = 2,293,756.56

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.