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Finding the Third Proportional to 589,316,947 and 1,283,261,354

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Solution

The third proportional to 589,316,947 and 1,283,261,354 is: 2,794,353,210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,316,947 : 1,283,261,354 = 1,283,261,354 : x
  2. Step 2: Convert to fraction form
    589,316,947/1,283,261,354 = 1,283,261,354/x
  3. Step 3: Cross multiply
    589,316,947x = 1,283,261,354 × 1,283,261,354
  4. Step 4: Simplify right side
    589,316,947x = 1,646,759,702,669,913,344
  5. Step 5: Solve for x
    x = 1,646,759,702,669,913,344/589,316,947
  6. Step 6: Final answer
    x = 2,794,353,210.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.