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Finding the Third Proportional to 685,383,079.50 and 1,044,144,643.50

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Solution

The third proportional to 685,383,079.50 and 1,044,144,643.50 is: 1,590,698,791.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,383,079.50 : 1,044,144,643.50 = 1,044,144,643.50 : x
  2. Step 2: Convert to fraction form
    685,383,079.50/1,044,144,643.50 = 1,044,144,643.50/x
  3. Step 3: Cross multiply
    685,383,079.50x = 1,044,144,643.50 × 1,044,144,643.50
  4. Step 4: Simplify right side
    685,383,079.50x = 1,090,238,036,549,742,080
  5. Step 5: Solve for x
    x = 1,090,238,036,549,742,080/685,383,079.50
  6. Step 6: Final answer
    x = 1,590,698,791.90

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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.