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Finding the Third Proportional to 1,302,088.50 and 2,856,297

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Solution

The third proportional to 1,302,088.50 and 2,856,297 is: 6,265,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,088.50 : 2,856,297 = 2,856,297 : x
  2. Step 2: Convert to fraction form
    1,302,088.50/2,856,297 = 2,856,297/x
  3. Step 3: Cross multiply
    1,302,088.50x = 2,856,297 × 2,856,297
  4. Step 4: Simplify right side
    1,302,088.50x = 8,158,432,552,209
  5. Step 5: Solve for x
    x = 8,158,432,552,209/1,302,088.50
  6. Step 6: Final answer
    x = 6,265,651.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.