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Finding the Third Proportional to 509,370,528 and 1,091,420,736

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Solution

The third proportional to 509,370,528 and 1,091,420,736 is: 2,338,571,153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,370,528 : 1,091,420,736 = 1,091,420,736 : x
  2. Step 2: Convert to fraction form
    509,370,528/1,091,420,736 = 1,091,420,736/x
  3. Step 3: Cross multiply
    509,370,528x = 1,091,420,736 × 1,091,420,736
  4. Step 4: Simplify right side
    509,370,528x = 1,191,199,222,970,781,696
  5. Step 5: Solve for x
    x = 1,191,199,222,970,781,696/509,370,528
  6. Step 6: Final answer
    x = 2,338,571,153.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.