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Finding the Third Proportional to 771,681 and 1,661,886

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Solution

The third proportional to 771,681 and 1,661,886 is: 3,579,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,681 : 1,661,886 = 1,661,886 : x
  2. Step 2: Convert to fraction form
    771,681/1,661,886 = 1,661,886/x
  3. Step 3: Cross multiply
    771,681x = 1,661,886 × 1,661,886
  4. Step 4: Simplify right side
    771,681x = 2,761,865,076,996
  5. Step 5: Solve for x
    x = 2,761,865,076,996/771,681
  6. Step 6: Final answer
    x = 3,579,024.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.