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Finding the Third Proportional to 551,973 and 822,127.50

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Solution

The third proportional to 551,973 and 822,127.50 is: 1,224,504.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,973 : 822,127.50 = 822,127.50 : x
  2. Step 2: Convert to fraction form
    551,973/822,127.50 = 822,127.50/x
  3. Step 3: Cross multiply
    551,973x = 822,127.50 × 822,127.50
  4. Step 4: Simplify right side
    551,973x = 675,893,626,256.25
  5. Step 5: Solve for x
    x = 675,893,626,256.25/551,973
  6. Step 6: Final answer
    x = 1,224,504.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.