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Finding the Third Proportional to 422,505,370 and 907,484,528

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Solution

The third proportional to 422,505,370 and 907,484,528 is: 1,949,154,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,505,370 : 907,484,528 = 907,484,528 : x
  2. Step 2: Convert to fraction form
    422,505,370/907,484,528 = 907,484,528/x
  3. Step 3: Cross multiply
    422,505,370x = 907,484,528 × 907,484,528
  4. Step 4: Simplify right side
    422,505,370x = 823,528,168,559,382,784
  5. Step 5: Solve for x
    x = 823,528,168,559,382,784/422,505,370
  6. Step 6: Final answer
    x = 1,949,154,323.32

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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.