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Finding the Third Proportional to 405,531,792 and 832,562,030

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Solution

The third proportional to 405,531,792 and 832,562,030 is: 1,709,260,648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,531,792 : 832,562,030 = 832,562,030 : x
  2. Step 2: Convert to fraction form
    405,531,792/832,562,030 = 832,562,030/x
  3. Step 3: Cross multiply
    405,531,792x = 832,562,030 × 832,562,030
  4. Step 4: Simplify right side
    405,531,792x = 693,159,533,797,720,960
  5. Step 5: Solve for x
    x = 693,159,533,797,720,960/405,531,792
  6. Step 6: Final answer
    x = 1,709,260,648.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.