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Finding the Third Proportional to 1,430,824 and 3,032,180

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Solution

The third proportional to 1,430,824 and 3,032,180 is: 6,425,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,824 : 3,032,180 = 3,032,180 : x
  2. Step 2: Convert to fraction form
    1,430,824/3,032,180 = 3,032,180/x
  3. Step 3: Cross multiply
    1,430,824x = 3,032,180 × 3,032,180
  4. Step 4: Simplify right side
    1,430,824x = 9,194,115,552,400
  5. Step 5: Solve for x
    x = 9,194,115,552,400/1,430,824
  6. Step 6: Final answer
    x = 6,425,748.77

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