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Finding the Third Proportional to 1,076,838 and 1,689,480

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Solution

The third proportional to 1,076,838 and 1,689,480 is: 2,650,670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,838 : 1,689,480 = 1,689,480 : x
  2. Step 2: Convert to fraction form
    1,076,838/1,689,480 = 1,689,480/x
  3. Step 3: Cross multiply
    1,076,838x = 1,689,480 × 1,689,480
  4. Step 4: Simplify right side
    1,076,838x = 2,854,342,670,400
  5. Step 5: Solve for x
    x = 2,854,342,670,400/1,076,838
  6. Step 6: Final answer
    x = 2,650,670.45

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.