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Finding the Third Proportional to 736,430 and 1,142,954

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Solution

The third proportional to 736,430 and 1,142,954 is: 1,773,887.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,430 : 1,142,954 = 1,142,954 : x
  2. Step 2: Convert to fraction form
    736,430/1,142,954 = 1,142,954/x
  3. Step 3: Cross multiply
    736,430x = 1,142,954 × 1,142,954
  4. Step 4: Simplify right side
    736,430x = 1,306,343,846,116
  5. Step 5: Solve for x
    x = 1,306,343,846,116/736,430
  6. Step 6: Final answer
    x = 1,773,887.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.