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Finding the Third Proportional to 2,570,445 and 5,583,381

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Solution

The third proportional to 2,570,445 and 5,583,381 is: 12,127,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570,445 : 5,583,381 = 5,583,381 : x
  2. Step 2: Convert to fraction form
    2,570,445/5,583,381 = 5,583,381/x
  3. Step 3: Cross multiply
    2,570,445x = 5,583,381 × 5,583,381
  4. Step 4: Simplify right side
    2,570,445x = 31,174,143,391,161
  5. Step 5: Solve for x
    x = 31,174,143,391,161/2,570,445
  6. Step 6: Final answer
    x = 12,127,916.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.