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Finding the Third Proportional to 2,076,752 and 4,506,016

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Solution

The third proportional to 2,076,752 and 4,506,016 is: 9,776,892.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076,752 : 4,506,016 = 4,506,016 : x
  2. Step 2: Convert to fraction form
    2,076,752/4,506,016 = 4,506,016/x
  3. Step 3: Cross multiply
    2,076,752x = 4,506,016 × 4,506,016
  4. Step 4: Simplify right side
    2,076,752x = 20,304,180,192,256
  5. Step 5: Solve for x
    x = 20,304,180,192,256/2,076,752
  6. Step 6: Final answer
    x = 9,776,892.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.