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Finding the Third Proportional to 2,504,871 and 5,583,465

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Solution

The third proportional to 2,504,871 and 5,583,465 is: 12,445,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504,871 : 5,583,465 = 5,583,465 : x
  2. Step 2: Convert to fraction form
    2,504,871/5,583,465 = 5,583,465/x
  3. Step 3: Cross multiply
    2,504,871x = 5,583,465 × 5,583,465
  4. Step 4: Simplify right side
    2,504,871x = 31,175,081,406,225
  5. Step 5: Solve for x
    x = 31,175,081,406,225/2,504,871
  6. Step 6: Final answer
    x = 12,445,783.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.