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Finding the Third Proportional to 290,692,468 and 637,883,896

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Solution

The third proportional to 290,692,468 and 637,883,896 is: 1,399,746,844.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,692,468 : 637,883,896 = 637,883,896 : x
  2. Step 2: Convert to fraction form
    290,692,468/637,883,896 = 637,883,896/x
  3. Step 3: Cross multiply
    290,692,468x = 637,883,896 × 637,883,896
  4. Step 4: Simplify right side
    290,692,468x = 406,895,864,776,138,816
  5. Step 5: Solve for x
    x = 406,895,864,776,138,816/290,692,468
  6. Step 6: Final answer
    x = 1,399,746,844.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.