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Finding the Third Proportional to 697,050 and 1,032,621.75

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Solution

The third proportional to 697,050 and 1,032,621.75 is: 1,529,743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,050 : 1,032,621.75 = 1,032,621.75 : x
  2. Step 2: Convert to fraction form
    697,050/1,032,621.75 = 1,032,621.75/x
  3. Step 3: Cross multiply
    697,050x = 1,032,621.75 × 1,032,621.75
  4. Step 4: Simplify right side
    697,050x = 1,066,307,678,573.06
  5. Step 5: Solve for x
    x = 1,066,307,678,573.06/697,050
  6. Step 6: Final answer
    x = 1,529,743.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.