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Finding the Third Proportional to 708,595 and 1,076,014

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Solution

The third proportional to 708,595 and 1,076,014 is: 1,633,946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,595 : 1,076,014 = 1,076,014 : x
  2. Step 2: Convert to fraction form
    708,595/1,076,014 = 1,076,014/x
  3. Step 3: Cross multiply
    708,595x = 1,076,014 × 1,076,014
  4. Step 4: Simplify right side
    708,595x = 1,157,806,128,196
  5. Step 5: Solve for x
    x = 1,157,806,128,196/708,595
  6. Step 6: Final answer
    x = 1,633,946.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.