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Finding the Third Proportional to 975,128.63 and 1,515,784.64

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Solution

The third proportional to 975,128.63 and 1,515,784.64 is: 2,356,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,128.63 : 1,515,784.64 = 1,515,784.64 : x
  2. Step 2: Convert to fraction form
    975,128.63/1,515,784.64 = 1,515,784.64/x
  3. Step 3: Cross multiply
    975,128.63x = 1,515,784.64 × 1,515,784.64
  4. Step 4: Simplify right side
    975,128.63x = 2,297,603,076,754.66
  5. Step 5: Solve for x
    x = 2,297,603,076,754.66/975,128.63
  6. Step 6: Final answer
    x = 2,356,205.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.