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Finding the Third Proportional to 1,310,457 and 2,803,083

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Solution

The third proportional to 1,310,457 and 2,803,083 is: 5,995,827.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,457 : 2,803,083 = 2,803,083 : x
  2. Step 2: Convert to fraction form
    1,310,457/2,803,083 = 2,803,083/x
  3. Step 3: Cross multiply
    1,310,457x = 2,803,083 × 2,803,083
  4. Step 4: Simplify right side
    1,310,457x = 7,857,274,304,889
  5. Step 5: Solve for x
    x = 7,857,274,304,889/1,310,457
  6. Step 6: Final answer
    x = 5,995,827.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.