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Finding the Third Proportional to 501,835,840 and 1,087,076,016

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Solution

The third proportional to 501,835,840 and 1,087,076,016 is: 2,354,822,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,835,840 : 1,087,076,016 = 1,087,076,016 : x
  2. Step 2: Convert to fraction form
    501,835,840/1,087,076,016 = 1,087,076,016/x
  3. Step 3: Cross multiply
    501,835,840x = 1,087,076,016 × 1,087,076,016
  4. Step 4: Simplify right side
    501,835,840x = 1,181,734,264,562,432,256
  5. Step 5: Solve for x
    x = 1,181,734,264,562,432,256/501,835,840
  6. Step 6: Final answer
    x = 2,354,822,374.91

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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.