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Finding the Third Proportional to 946,352 and 1,430,819

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Solution

The third proportional to 946,352 and 1,430,819 is: 2,163,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,352 : 1,430,819 = 1,430,819 : x
  2. Step 2: Convert to fraction form
    946,352/1,430,819 = 1,430,819/x
  3. Step 3: Cross multiply
    946,352x = 1,430,819 × 1,430,819
  4. Step 4: Simplify right side
    946,352x = 2,047,243,010,761
  5. Step 5: Solve for x
    x = 2,047,243,010,761/946,352
  6. Step 6: Final answer
    x = 2,163,299.71

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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.