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Finding the Third Proportional to 690,103.50 and 1,047,570

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Solution

The third proportional to 690,103.50 and 1,047,570 is: 1,590,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,103.50 : 1,047,570 = 1,047,570 : x
  2. Step 2: Convert to fraction form
    690,103.50/1,047,570 = 1,047,570/x
  3. Step 3: Cross multiply
    690,103.50x = 1,047,570 × 1,047,570
  4. Step 4: Simplify right side
    690,103.50x = 1,097,402,904,900
  5. Step 5: Solve for x
    x = 1,097,402,904,900/690,103.50
  6. Step 6: Final answer
    x = 1,590,200.46

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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.