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Finding the Third Proportional to 482,968,305 and 1,042,411,842

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Solution

The third proportional to 482,968,305 and 1,042,411,842 is: 2,249,883,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,968,305 : 1,042,411,842 = 1,042,411,842 : x
  2. Step 2: Convert to fraction form
    482,968,305/1,042,411,842 = 1,042,411,842/x
  3. Step 3: Cross multiply
    482,968,305x = 1,042,411,842 × 1,042,411,842
  4. Step 4: Simplify right side
    482,968,305x = 1,086,622,448,341,832,960
  5. Step 5: Solve for x
    x = 1,086,622,448,341,832,960/482,968,305
  6. Step 6: Final answer
    x = 2,249,883,557.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.