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Finding the Third Proportional to 974,871 and 2,103,878

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Solution

The third proportional to 974,871 and 2,103,878 is: 4,540,398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,871 : 2,103,878 = 2,103,878 : x
  2. Step 2: Convert to fraction form
    974,871/2,103,878 = 2,103,878/x
  3. Step 3: Cross multiply
    974,871x = 2,103,878 × 2,103,878
  4. Step 4: Simplify right side
    974,871x = 4,426,302,638,884
  5. Step 5: Solve for x
    x = 4,426,302,638,884/974,871
  6. Step 6: Final answer
    x = 4,540,398.31

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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.