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Finding the Third Proportional to 931,535 and 1,406,158

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Solution

The third proportional to 931,535 and 1,406,158 is: 2,122,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,535 : 1,406,158 = 1,406,158 : x
  2. Step 2: Convert to fraction form
    931,535/1,406,158 = 1,406,158/x
  3. Step 3: Cross multiply
    931,535x = 1,406,158 × 1,406,158
  4. Step 4: Simplify right side
    931,535x = 1,977,280,320,964
  5. Step 5: Solve for x
    x = 1,977,280,320,964/931,535
  6. Step 6: Final answer
    x = 2,122,604.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.