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Finding the Third Proportional to 266,792,778 and 578,114,226

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Solution

The third proportional to 266,792,778 and 578,114,226 is: 1,252,717,786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,792,778 : 578,114,226 = 578,114,226 : x
  2. Step 2: Convert to fraction form
    266,792,778/578,114,226 = 578,114,226/x
  3. Step 3: Cross multiply
    266,792,778x = 578,114,226 × 578,114,226
  4. Step 4: Simplify right side
    266,792,778x = 334,216,058,303,579,072
  5. Step 5: Solve for x
    x = 334,216,058,303,579,072/266,792,778
  6. Step 6: Final answer
    x = 1,252,717,786.47

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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.