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Finding the Third Proportional to 884,006 and 1,309,434

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Solution

The third proportional to 884,006 and 1,309,434 is: 1,939,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,006 : 1,309,434 = 1,309,434 : x
  2. Step 2: Convert to fraction form
    884,006/1,309,434 = 1,309,434/x
  3. Step 3: Cross multiply
    884,006x = 1,309,434 × 1,309,434
  4. Step 4: Simplify right side
    884,006x = 1,714,617,400,356
  5. Step 5: Solve for x
    x = 1,714,617,400,356/884,006
  6. Step 6: Final answer
    x = 1,939,599.28

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.