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Finding the Third Proportional to 685,382,707.50 and 1,044,144,139.50

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Solution

The third proportional to 685,382,707.50 and 1,044,144,139.50 is: 1,590,698,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,382,707.50 : 1,044,144,139.50 = 1,044,144,139.50 : x
  2. Step 2: Convert to fraction form
    685,382,707.50/1,044,144,139.50 = 1,044,144,139.50/x
  3. Step 3: Cross multiply
    685,382,707.50x = 1,044,144,139.50 × 1,044,144,139.50
  4. Step 4: Simplify right side
    685,382,707.50x = 1,090,236,984,052,195,456
  5. Step 5: Solve for x
    x = 1,090,236,984,052,195,456/685,382,707.50
  6. Step 6: Final answer
    x = 1,590,698,119.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.