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Finding the Third Proportional to 973,740 and 2,103,000

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Solution

The third proportional to 973,740 and 2,103,000 is: 4,541,878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,740 : 2,103,000 = 2,103,000 : x
  2. Step 2: Convert to fraction form
    973,740/2,103,000 = 2,103,000/x
  3. Step 3: Cross multiply
    973,740x = 2,103,000 × 2,103,000
  4. Step 4: Simplify right side
    973,740x = 4,422,609,000,000
  5. Step 5: Solve for x
    x = 4,422,609,000,000/973,740
  6. Step 6: Final answer
    x = 4,541,878.74

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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.