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Finding the Third Proportional to 422,505,364 and 907,484,516

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Solution

The third proportional to 422,505,364 and 907,484,516 is: 1,949,154,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,505,364 : 907,484,516 = 907,484,516 : x
  2. Step 2: Convert to fraction form
    422,505,364/907,484,516 = 907,484,516/x
  3. Step 3: Cross multiply
    422,505,364x = 907,484,516 × 907,484,516
  4. Step 4: Simplify right side
    422,505,364x = 823,528,146,779,754,240
  5. Step 5: Solve for x
    x = 823,528,146,779,754,240/422,505,364
  6. Step 6: Final answer
    x = 1,949,154,299.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.