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Finding the Third Proportional to 507,057 and 1,076,310

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Solution

The third proportional to 507,057 and 1,076,310 is: 2,284,641.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,057 : 1,076,310 = 1,076,310 : x
  2. Step 2: Convert to fraction form
    507,057/1,076,310 = 1,076,310/x
  3. Step 3: Cross multiply
    507,057x = 1,076,310 × 1,076,310
  4. Step 4: Simplify right side
    507,057x = 1,158,443,216,100
  5. Step 5: Solve for x
    x = 1,158,443,216,100/507,057
  6. Step 6: Final answer
    x = 2,284,641.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.