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Finding the Third Proportional to 692,666.86 and 1,515,798.98

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Solution

The third proportional to 692,666.86 and 1,515,798.98 is: 3,317,101.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,666.86 : 1,515,798.98 = 1,515,798.98 : x
  2. Step 2: Convert to fraction form
    692,666.86/1,515,798.98 = 1,515,798.98/x
  3. Step 3: Cross multiply
    692,666.86x = 1,515,798.98 × 1,515,798.98
  4. Step 4: Simplify right side
    692,666.86x = 2,297,646,561,032.28
  5. Step 5: Solve for x
    x = 2,297,646,561,032.28/692,666.86
  6. Step 6: Final answer
    x = 3,317,101.91

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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.