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Finding the Third Proportional to 640,430 and 1,004,592

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Solution

The third proportional to 640,430 and 1,004,592 is: 1,575,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,430 : 1,004,592 = 1,004,592 : x
  2. Step 2: Convert to fraction form
    640,430/1,004,592 = 1,004,592/x
  3. Step 3: Cross multiply
    640,430x = 1,004,592 × 1,004,592
  4. Step 4: Simplify right side
    640,430x = 1,009,205,086,464
  5. Step 5: Solve for x
    x = 1,009,205,086,464/640,430
  6. Step 6: Final answer
    x = 1,575,824.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.