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Finding the Third Proportional to 433,490 and 930,896

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Solution

The third proportional to 433,490 and 930,896 is: 1,999,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,490 : 930,896 = 930,896 : x
  2. Step 2: Convert to fraction form
    433,490/930,896 = 930,896/x
  3. Step 3: Cross multiply
    433,490x = 930,896 × 930,896
  4. Step 4: Simplify right side
    433,490x = 866,567,362,816
  5. Step 5: Solve for x
    x = 866,567,362,816/433,490
  6. Step 6: Final answer
    x = 1,999,048.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.