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Finding the Third Proportional to 1,429,830 and 2,977,272

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Solution

The third proportional to 1,429,830 and 2,977,272 is: 6,199,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,830 : 2,977,272 = 2,977,272 : x
  2. Step 2: Convert to fraction form
    1,429,830/2,977,272 = 2,977,272/x
  3. Step 3: Cross multiply
    1,429,830x = 2,977,272 × 2,977,272
  4. Step 4: Simplify right side
    1,429,830x = 8,864,148,561,984
  5. Step 5: Solve for x
    x = 8,864,148,561,984/1,429,830
  6. Step 6: Final answer
    x = 6,199,442.28

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.