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Finding the Third Proportional to 656,969.50 and 1,416,485

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Solution

The third proportional to 656,969.50 and 1,416,485 is: 3,054,068.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,969.50 : 1,416,485 = 1,416,485 : x
  2. Step 2: Convert to fraction form
    656,969.50/1,416,485 = 1,416,485/x
  3. Step 3: Cross multiply
    656,969.50x = 1,416,485 × 1,416,485
  4. Step 4: Simplify right side
    656,969.50x = 2,006,429,755,225
  5. Step 5: Solve for x
    x = 2,006,429,755,225/656,969.50
  6. Step 6: Final answer
    x = 3,054,068.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.