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Finding the Third Proportional to 973,742 and 2,103,004

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Solution

The third proportional to 973,742 and 2,103,004 is: 4,541,886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,742 : 2,103,004 = 2,103,004 : x
  2. Step 2: Convert to fraction form
    973,742/2,103,004 = 2,103,004/x
  3. Step 3: Cross multiply
    973,742x = 2,103,004 × 2,103,004
  4. Step 4: Simplify right side
    973,742x = 4,422,625,824,016
  5. Step 5: Solve for x
    x = 4,422,625,824,016/973,742
  6. Step 6: Final answer
    x = 4,541,886.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.