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Finding the Third Proportional to 476,329,071 and 1,021,578,207

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Solution

The third proportional to 476,329,071 and 1,021,578,207 is: 2,190,968,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,329,071 : 1,021,578,207 = 1,021,578,207 : x
  2. Step 2: Convert to fraction form
    476,329,071/1,021,578,207 = 1,021,578,207/x
  3. Step 3: Cross multiply
    476,329,071x = 1,021,578,207 × 1,021,578,207
  4. Step 4: Simplify right side
    476,329,071x = 1,043,622,033,017,334,912
  5. Step 5: Solve for x
    x = 1,043,622,033,017,334,912/476,329,071
  6. Step 6: Final answer
    x = 2,190,968,589.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.