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Finding the Third Proportional to 429,820 and 1,011,046

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Solution

The third proportional to 429,820 and 1,011,046 is: 2,378,237.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,820 : 1,011,046 = 1,011,046 : x
  2. Step 2: Convert to fraction form
    429,820/1,011,046 = 1,011,046/x
  3. Step 3: Cross multiply
    429,820x = 1,011,046 × 1,011,046
  4. Step 4: Simplify right side
    429,820x = 1,022,214,014,116
  5. Step 5: Solve for x
    x = 1,022,214,014,116/429,820
  6. Step 6: Final answer
    x = 2,378,237.43

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.