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Finding the Third Proportional to 321,929,844 and 697,341,516

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Solution

The third proportional to 321,929,844 and 697,341,516 is: 1,510,531,561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,929,844 : 697,341,516 = 697,341,516 : x
  2. Step 2: Convert to fraction form
    321,929,844/697,341,516 = 697,341,516/x
  3. Step 3: Cross multiply
    321,929,844x = 697,341,516 × 697,341,516
  4. Step 4: Simplify right side
    321,929,844x = 486,285,189,937,178,240
  5. Step 5: Solve for x
    x = 486,285,189,937,178,240/321,929,844
  6. Step 6: Final answer
    x = 1,510,531,561.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.