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Finding the Third Proportional to 429,949,984 and 877,946,336

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Solution

The third proportional to 429,949,984 and 877,946,336 is: 1,792,742,871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,949,984 : 877,946,336 = 877,946,336 : x
  2. Step 2: Convert to fraction form
    429,949,984/877,946,336 = 877,946,336/x
  3. Step 3: Cross multiply
    429,949,984x = 877,946,336 × 877,946,336
  4. Step 4: Simplify right side
    429,949,984x = 770,789,768,895,824,896
  5. Step 5: Solve for x
    x = 770,789,768,895,824,896/429,949,984
  6. Step 6: Final answer
    x = 1,792,742,871.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.