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Finding the Third Proportional to 409,316,004 and 629,783,262

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Solution

The third proportional to 409,316,004 and 629,783,262 is: 968,999,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,316,004 : 629,783,262 = 629,783,262 : x
  2. Step 2: Convert to fraction form
    409,316,004/629,783,262 = 629,783,262/x
  3. Step 3: Cross multiply
    409,316,004x = 629,783,262 × 629,783,262
  4. Step 4: Simplify right side
    409,316,004x = 396,626,957,095,360,640
  5. Step 5: Solve for x
    x = 396,626,957,095,360,640/409,316,004
  6. Step 6: Final answer
    x = 968,999,387.32

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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.