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Finding the Third Proportional to 554,874,534 and 1,207,429,647

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Solution

The third proportional to 554,874,534 and 1,207,429,647 is: 2,627,416,223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,874,534 : 1,207,429,647 = 1,207,429,647 : x
  2. Step 2: Convert to fraction form
    554,874,534/1,207,429,647 = 1,207,429,647/x
  3. Step 3: Cross multiply
    554,874,534x = 1,207,429,647 × 1,207,429,647
  4. Step 4: Simplify right side
    554,874,534x = 1,457,886,352,454,544,640
  5. Step 5: Solve for x
    x = 1,457,886,352,454,544,640/554,874,534
  6. Step 6: Final answer
    x = 2,627,416,223.17

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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.