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Finding the Third Proportional to 699,575,832 and 1,045,508,148

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Solution

The third proportional to 699,575,832 and 1,045,508,148 is: 1,562,500,071.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,575,832 : 1,045,508,148 = 1,045,508,148 : x
  2. Step 2: Convert to fraction form
    699,575,832/1,045,508,148 = 1,045,508,148/x
  3. Step 3: Cross multiply
    699,575,832x = 1,045,508,148 × 1,045,508,148
  4. Step 4: Simplify right side
    699,575,832x = 1,093,087,287,534,389,888
  5. Step 5: Solve for x
    x = 1,093,087,287,534,389,888/699,575,832
  6. Step 6: Final answer
    x = 1,562,500,071.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.