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Finding the Third Proportional to 946,458 and 1,430,971

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Solution

The third proportional to 946,458 and 1,430,971 is: 2,163,517.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,458 : 1,430,971 = 1,430,971 : x
  2. Step 2: Convert to fraction form
    946,458/1,430,971 = 1,430,971/x
  3. Step 3: Cross multiply
    946,458x = 1,430,971 × 1,430,971
  4. Step 4: Simplify right side
    946,458x = 2,047,678,002,841
  5. Step 5: Solve for x
    x = 2,047,678,002,841/946,458
  6. Step 6: Final answer
    x = 2,163,517.03

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Why These Related Problems?

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