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Finding the Third Proportional to 946,355 and 1,430,822

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Solution

The third proportional to 946,355 and 1,430,822 is: 2,163,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,355 : 1,430,822 = 1,430,822 : x
  2. Step 2: Convert to fraction form
    946,355/1,430,822 = 1,430,822/x
  3. Step 3: Cross multiply
    946,355x = 1,430,822 × 1,430,822
  4. Step 4: Simplify right side
    946,355x = 2,047,251,595,684
  5. Step 5: Solve for x
    x = 2,047,251,595,684/946,355
  6. Step 6: Final answer
    x = 2,163,301.93

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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.