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Finding the Third Proportional to 1,430,812 and 3,032,211

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Solution

The third proportional to 1,430,812 and 3,032,211 is: 6,425,934.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,812 : 3,032,211 = 3,032,211 : x
  2. Step 2: Convert to fraction form
    1,430,812/3,032,211 = 3,032,211/x
  3. Step 3: Cross multiply
    1,430,812x = 3,032,211 × 3,032,211
  4. Step 4: Simplify right side
    1,430,812x = 9,194,303,548,521
  5. Step 5: Solve for x
    x = 9,194,303,548,521/1,430,812
  6. Step 6: Final answer
    x = 6,425,934.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.