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Finding the Third Proportional to 653,586.47 and 1,009,497.94

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Solution

The third proportional to 653,586.47 and 1,009,497.94 is: 1,559,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,586.47 : 1,009,497.94 = 1,009,497.94 : x
  2. Step 2: Convert to fraction form
    653,586.47/1,009,497.94 = 1,009,497.94/x
  3. Step 3: Cross multiply
    653,586.47x = 1,009,497.94 × 1,009,497.94
  4. Step 4: Simplify right side
    653,586.47x = 1,019,086,085,816.75
  5. Step 5: Solve for x
    x = 1,019,086,085,816.75/653,586.47
  6. Step 6: Final answer
    x = 1,559,221.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.