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Finding the Third Proportional to 405,531,796 and 832,562,038

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Solution

The third proportional to 405,531,796 and 832,562,038 is: 1,709,260,664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,531,796 : 832,562,038 = 832,562,038 : x
  2. Step 2: Convert to fraction form
    405,531,796/832,562,038 = 832,562,038/x
  3. Step 3: Cross multiply
    405,531,796x = 832,562,038 × 832,562,038
  4. Step 4: Simplify right side
    405,531,796x = 693,159,547,118,713,472
  5. Step 5: Solve for x
    x = 693,159,547,118,713,472/405,531,796
  6. Step 6: Final answer
    x = 1,709,260,664.53

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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.