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Finding the Third Proportional to 552,421,773 and 1,196,790,948

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Solution

The third proportional to 552,421,773 and 1,196,790,948 is: 2,592,780,812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,421,773 : 1,196,790,948 = 1,196,790,948 : x
  2. Step 2: Convert to fraction form
    552,421,773/1,196,790,948 = 1,196,790,948/x
  3. Step 3: Cross multiply
    552,421,773x = 1,196,790,948 × 1,196,790,948
  4. Step 4: Simplify right side
    552,421,773x = 1,432,308,573,214,738,688
  5. Step 5: Solve for x
    x = 1,432,308,573,214,738,688/552,421,773
  6. Step 6: Final answer
    x = 2,592,780,812.09

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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.